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Finding the Third Proportional to 526,516 and 752,395

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Solution

The third proportional to 526,516 and 752,395 is: 1,075,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,516 : 752,395 = 752,395 : x
  2. Step 2: Convert to fraction form
    526,516/752,395 = 752,395/x
  3. Step 3: Cross multiply
    526,516x = 752,395 × 752,395
  4. Step 4: Simplify right side
    526,516x = 566,098,236,025
  5. Step 5: Solve for x
    x = 566,098,236,025/526,516
  6. Step 6: Final answer
    x = 1,075,177.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.