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Finding the Third Proportional to 430,299 and 936,595.50

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Solution

The third proportional to 430,299 and 936,595.50 is: 2,038,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,299 : 936,595.50 = 936,595.50 : x
  2. Step 2: Convert to fraction form
    430,299/936,595.50 = 936,595.50/x
  3. Step 3: Cross multiply
    430,299x = 936,595.50 × 936,595.50
  4. Step 4: Simplify right side
    430,299x = 877,211,130,620.25
  5. Step 5: Solve for x
    x = 877,211,130,620.25/430,299
  6. Step 6: Final answer
    x = 2,038,608.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.