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Finding the Third Proportional to 497,965 and 752,876.50

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Solution

The third proportional to 497,965 and 752,876.50 is: 1,138,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,965 : 752,876.50 = 752,876.50 : x
  2. Step 2: Convert to fraction form
    497,965/752,876.50 = 752,876.50/x
  3. Step 3: Cross multiply
    497,965x = 752,876.50 × 752,876.50
  4. Step 4: Simplify right side
    497,965x = 566,823,024,252.25
  5. Step 5: Solve for x
    x = 566,823,024,252.25/497,965
  6. Step 6: Final answer
    x = 1,138,278.84

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