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Finding the Third Proportional to 471,681 and 725,874

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Solution

The third proportional to 471,681 and 725,874 is: 1,117,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,681 : 725,874 = 725,874 : x
  2. Step 2: Convert to fraction form
    471,681/725,874 = 725,874/x
  3. Step 3: Cross multiply
    471,681x = 725,874 × 725,874
  4. Step 4: Simplify right side
    471,681x = 526,893,063,876
  5. Step 5: Solve for x
    x = 526,893,063,876/471,681
  6. Step 6: Final answer
    x = 1,117,053.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.