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Finding the Third Proportional to 481,292 and 705,522

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Solution

The third proportional to 481,292 and 705,522 is: 1,034,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,292 : 705,522 = 705,522 : x
  2. Step 2: Convert to fraction form
    481,292/705,522 = 705,522/x
  3. Step 3: Cross multiply
    481,292x = 705,522 × 705,522
  4. Step 4: Simplify right side
    481,292x = 497,761,292,484
  5. Step 5: Solve for x
    x = 497,761,292,484/481,292
  6. Step 6: Final answer
    x = 1,034,218.92

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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.