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Finding the Third Proportional to 434,791 and 571,749

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Solution

The third proportional to 434,791 and 571,749 is: 751,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,791 : 571,749 = 571,749 : x
  2. Step 2: Convert to fraction form
    434,791/571,749 = 571,749/x
  3. Step 3: Cross multiply
    434,791x = 571,749 × 571,749
  4. Step 4: Simplify right side
    434,791x = 326,896,919,001
  5. Step 5: Solve for x
    x = 326,896,919,001/434,791
  6. Step 6: Final answer
    x = 751,848.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.