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Finding the Third Proportional to 482,334 and 709,065

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Solution

The third proportional to 482,334 and 709,065 is: 1,042,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,334 : 709,065 = 709,065 : x
  2. Step 2: Convert to fraction form
    482,334/709,065 = 709,065/x
  3. Step 3: Cross multiply
    482,334x = 709,065 × 709,065
  4. Step 4: Simplify right side
    482,334x = 502,773,174,225
  5. Step 5: Solve for x
    x = 502,773,174,225/482,334
  6. Step 6: Final answer
    x = 1,042,375.56

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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.