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Finding the Third Proportional to 482,813 and 709,441

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Solution

The third proportional to 482,813 and 709,441 is: 1,042,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,813 : 709,441 = 709,441 : x
  2. Step 2: Convert to fraction form
    482,813/709,441 = 709,441/x
  3. Step 3: Cross multiply
    482,813x = 709,441 × 709,441
  4. Step 4: Simplify right side
    482,813x = 503,306,532,481
  5. Step 5: Solve for x
    x = 503,306,532,481/482,813
  6. Step 6: Final answer
    x = 1,042,446.11

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Why These Related Problems?

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