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Finding the Third Proportional to 306,034,513.50 and 664,027,762.50

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Solution

The third proportional to 306,034,513.50 and 664,027,762.50 is: 1,440,794,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,513.50 : 664,027,762.50 = 664,027,762.50 : x
  2. Step 2: Convert to fraction form
    306,034,513.50/664,027,762.50 = 664,027,762.50/x
  3. Step 3: Cross multiply
    306,034,513.50x = 664,027,762.50 × 664,027,762.50
  4. Step 4: Simplify right side
    306,034,513.50x = 440,932,869,370,756,416
  5. Step 5: Solve for x
    x = 440,932,869,370,756,416/306,034,513.50
  6. Step 6: Final answer
    x = 1,440,794,583.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.