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Finding the Third Proportional to 468,969 and 725,871

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Solution

The third proportional to 468,969 and 725,871 is: 1,123,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,969 : 725,871 = 725,871 : x
  2. Step 2: Convert to fraction form
    468,969/725,871 = 725,871/x
  3. Step 3: Cross multiply
    468,969x = 725,871 × 725,871
  4. Step 4: Simplify right side
    468,969x = 526,888,708,641
  5. Step 5: Solve for x
    x = 526,888,708,641/468,969
  6. Step 6: Final answer
    x = 1,123,504.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.