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Finding the Third Proportional to 471,683 and 725,877

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Solution

The third proportional to 471,683 and 725,877 is: 1,117,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,683 : 725,877 = 725,877 : x
  2. Step 2: Convert to fraction form
    471,683/725,877 = 725,877/x
  3. Step 3: Cross multiply
    471,683x = 725,877 × 725,877
  4. Step 4: Simplify right side
    471,683x = 526,897,419,129
  5. Step 5: Solve for x
    x = 526,897,419,129/471,683
  6. Step 6: Final answer
    x = 1,117,058.32

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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.