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Finding the Third Proportional to 461,548.13 and 698,473.13

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Solution

The third proportional to 461,548.13 and 698,473.13 is: 1,057,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,548.13 : 698,473.13 = 698,473.13 : x
  2. Step 2: Convert to fraction form
    461,548.13/698,473.13 = 698,473.13/x
  3. Step 3: Cross multiply
    461,548.13x = 698,473.13 × 698,473.13
  4. Step 4: Simplify right side
    461,548.13x = 487,864,706,347.27
  5. Step 5: Solve for x
    x = 487,864,706,347.27/461,548.13
  6. Step 6: Final answer
    x = 1,057,018.07

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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.