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Finding the Third Proportional to 430,866,445.50 and 682,371,271.50

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Solution

The third proportional to 430,866,445.50 and 682,371,271.50 is: 1,080,684,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,866,445.50 : 682,371,271.50 = 682,371,271.50 : x
  2. Step 2: Convert to fraction form
    430,866,445.50/682,371,271.50 = 682,371,271.50/x
  3. Step 3: Cross multiply
    430,866,445.50x = 682,371,271.50 × 682,371,271.50
  4. Step 4: Simplify right side
    430,866,445.50x = 465,630,552,168,526,720
  5. Step 5: Solve for x
    x = 465,630,552,168,526,720/430,866,445.50
  6. Step 6: Final answer
    x = 1,080,684,181.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.