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Finding the Third Proportional to 354,496,196.25 and 569,576,721.38

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Solution

The third proportional to 354,496,196.25 and 569,576,721.38 is: 915,151,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,496,196.25 : 569,576,721.38 = 569,576,721.38 : x
  2. Step 2: Convert to fraction form
    354,496,196.25/569,576,721.38 = 569,576,721.38/x
  3. Step 3: Cross multiply
    354,496,196.25x = 569,576,721.38 × 569,576,721.38
  4. Step 4: Simplify right side
    354,496,196.25x = 324,417,641,532,294,400
  5. Step 5: Solve for x
    x = 324,417,641,532,294,400/354,496,196.25
  6. Step 6: Final answer
    x = 915,151,262.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.