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Finding the Third Proportional to 497,961 and 752,871

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Solution

The third proportional to 497,961 and 752,871 is: 1,138,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,961 : 752,871 = 752,871 : x
  2. Step 2: Convert to fraction form
    497,961/752,871 = 752,871/x
  3. Step 3: Cross multiply
    497,961x = 752,871 × 752,871
  4. Step 4: Simplify right side
    497,961x = 566,814,742,641
  5. Step 5: Solve for x
    x = 566,814,742,641/497,961
  6. Step 6: Final answer
    x = 1,138,271.36

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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.