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Finding the Third Proportional to 307,396,114 and 658,724,684

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Solution

The third proportional to 307,396,114 and 658,724,684 is: 1,411,593,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,114 : 658,724,684 = 658,724,684 : x
  2. Step 2: Convert to fraction form
    307,396,114/658,724,684 = 658,724,684/x
  3. Step 3: Cross multiply
    307,396,114x = 658,724,684 × 658,724,684
  4. Step 4: Simplify right side
    307,396,114x = 433,918,209,310,899,840
  5. Step 5: Solve for x
    x = 433,918,209,310,899,840/307,396,114
  6. Step 6: Final answer
    x = 1,411,593,021.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.