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Finding the Third Proportional to 529,665 and 795,681

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Solution

The third proportional to 529,665 and 795,681 is: 1,195,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,665 : 795,681 = 795,681 : x
  2. Step 2: Convert to fraction form
    529,665/795,681 = 795,681/x
  3. Step 3: Cross multiply
    529,665x = 795,681 × 795,681
  4. Step 4: Simplify right side
    529,665x = 633,108,253,761
  5. Step 5: Solve for x
    x = 633,108,253,761/529,665
  6. Step 6: Final answer
    x = 1,195,299.39

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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.