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Finding the Third Proportional to 482,414 and 709,166

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Solution

The third proportional to 482,414 and 709,166 is: 1,042,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,414 : 709,166 = 709,166 : x
  2. Step 2: Convert to fraction form
    482,414/709,166 = 709,166/x
  3. Step 3: Cross multiply
    482,414x = 709,166 × 709,166
  4. Step 4: Simplify right side
    482,414x = 502,916,415,556
  5. Step 5: Solve for x
    x = 502,916,415,556/482,414
  6. Step 6: Final answer
    x = 1,042,499.63

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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.