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Finding the Third Proportional to 374,679 and 571,347

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Solution

The third proportional to 374,679 and 571,347 is: 871,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,679 : 571,347 = 571,347 : x
  2. Step 2: Convert to fraction form
    374,679/571,347 = 571,347/x
  3. Step 3: Cross multiply
    374,679x = 571,347 × 571,347
  4. Step 4: Simplify right side
    374,679x = 326,437,394,409
  5. Step 5: Solve for x
    x = 326,437,394,409/374,679
  6. Step 6: Final answer
    x = 871,245.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.