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Finding the Third Proportional to 461,532.94 and 698,457.94

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Solution

The third proportional to 461,532.94 and 698,457.94 is: 1,057,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,532.94 : 698,457.94 = 698,457.94 : x
  2. Step 2: Convert to fraction form
    461,532.94/698,457.94 = 698,457.94/x
  3. Step 3: Cross multiply
    461,532.94x = 698,457.94 × 698,457.94
  4. Step 4: Simplify right side
    461,532.94x = 487,843,490,456.75
  5. Step 5: Solve for x
    x = 487,843,490,456.75/461,532.94
  6. Step 6: Final answer
    x = 1,057,006.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.