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Finding the Third Proportional to 482,393 and 709,137

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Solution

The third proportional to 482,393 and 709,137 is: 1,042,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,393 : 709,137 = 709,137 : x
  2. Step 2: Convert to fraction form
    482,393/709,137 = 709,137/x
  3. Step 3: Cross multiply
    482,393x = 709,137 × 709,137
  4. Step 4: Simplify right side
    482,393x = 502,875,284,769
  5. Step 5: Solve for x
    x = 502,875,284,769/482,393
  6. Step 6: Final answer
    x = 1,042,459.75

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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.