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Finding the Third Proportional to 497,964 and 752,875

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Solution

The third proportional to 497,964 and 752,875 is: 1,138,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,964 : 752,875 = 752,875 : x
  2. Step 2: Convert to fraction form
    497,964/752,875 = 752,875/x
  3. Step 3: Cross multiply
    497,964x = 752,875 × 752,875
  4. Step 4: Simplify right side
    497,964x = 566,820,765,625
  5. Step 5: Solve for x
    x = 566,820,765,625/497,964
  6. Step 6: Final answer
    x = 1,138,276.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.