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Finding the Third Proportional to 374,791 and 575,725

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Solution

The third proportional to 374,791 and 575,725 is: 884,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,791 : 575,725 = 575,725 : x
  2. Step 2: Convert to fraction form
    374,791/575,725 = 575,725/x
  3. Step 3: Cross multiply
    374,791x = 575,725 × 575,725
  4. Step 4: Simplify right side
    374,791x = 331,459,275,625
  5. Step 5: Solve for x
    x = 331,459,275,625/374,791
  6. Step 6: Final answer
    x = 884,384.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.