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Finding the Third Proportional to 460,924 and 691,398

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Solution

The third proportional to 460,924 and 691,398 is: 1,037,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924 : 691,398 = 691,398 : x
  2. Step 2: Convert to fraction form
    460,924/691,398 = 691,398/x
  3. Step 3: Cross multiply
    460,924x = 691,398 × 691,398
  4. Step 4: Simplify right side
    460,924x = 478,031,194,404
  5. Step 5: Solve for x
    x = 478,031,194,404/460,924
  6. Step 6: Final answer
    x = 1,037,115.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.