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Finding the Third Proportional to 482,852 and 709,470

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Solution

The third proportional to 482,852 and 709,470 is: 1,042,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,852 : 709,470 = 709,470 : x
  2. Step 2: Convert to fraction form
    482,852/709,470 = 709,470/x
  3. Step 3: Cross multiply
    482,852x = 709,470 × 709,470
  4. Step 4: Simplify right side
    482,852x = 503,347,680,900
  5. Step 5: Solve for x
    x = 503,347,680,900/482,852
  6. Step 6: Final answer
    x = 1,042,447.13

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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.