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Finding the Third Proportional to 482,373 and 709,107.75

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Solution

The third proportional to 482,373 and 709,107.75 is: 1,042,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,373 : 709,107.75 = 709,107.75 : x
  2. Step 2: Convert to fraction form
    482,373/709,107.75 = 709,107.75/x
  3. Step 3: Cross multiply
    482,373x = 709,107.75 × 709,107.75
  4. Step 4: Simplify right side
    482,373x = 502,833,801,110.06
  5. Step 5: Solve for x
    x = 502,833,801,110.06/482,373
  6. Step 6: Final answer
    x = 1,042,416.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.