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Finding the Third Proportional to 526,532 and 752,420

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Solution

The third proportional to 526,532 and 752,420 is: 1,075,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,532 : 752,420 = 752,420 : x
  2. Step 2: Convert to fraction form
    526,532/752,420 = 752,420/x
  3. Step 3: Cross multiply
    526,532x = 752,420 × 752,420
  4. Step 4: Simplify right side
    526,532x = 566,135,856,400
  5. Step 5: Solve for x
    x = 566,135,856,400/526,532
  6. Step 6: Final answer
    x = 1,075,216.43

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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.