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Finding the Third Proportional to 374,598 and 574,398

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Solution

The third proportional to 374,598 and 574,398 is: 880,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,598 : 574,398 = 574,398 : x
  2. Step 2: Convert to fraction form
    374,598/574,398 = 574,398/x
  3. Step 3: Cross multiply
    374,598x = 574,398 × 574,398
  4. Step 4: Simplify right side
    374,598x = 329,933,062,404
  5. Step 5: Solve for x
    x = 329,933,062,404/374,598
  6. Step 6: Final answer
    x = 880,765.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.