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Finding the Third Proportional to 334,584,116 and 724,753,024

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Solution

The third proportional to 334,584,116 and 724,753,024 is: 1,569,909,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,584,116 : 724,753,024 = 724,753,024 : x
  2. Step 2: Convert to fraction form
    334,584,116/724,753,024 = 724,753,024/x
  3. Step 3: Cross multiply
    334,584,116x = 724,753,024 × 724,753,024
  4. Step 4: Simplify right side
    334,584,116x = 525,266,945,797,144,576
  5. Step 5: Solve for x
    x = 525,266,945,797,144,576/334,584,116
  6. Step 6: Final answer
    x = 1,569,909,988.78

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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.