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Finding the Third Proportional to 453,708 and 616,551.75

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Solution

The third proportional to 453,708 and 616,551.75 is: 837,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,708 : 616,551.75 = 616,551.75 : x
  2. Step 2: Convert to fraction form
    453,708/616,551.75 = 616,551.75/x
  3. Step 3: Cross multiply
    453,708x = 616,551.75 × 616,551.75
  4. Step 4: Simplify right side
    453,708x = 380,136,060,428.06
  5. Step 5: Solve for x
    x = 380,136,060,428.06/453,708
  6. Step 6: Final answer
    x = 837,842.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.