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Finding the Third Proportional to 536,984 and 752,580

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Solution

The third proportional to 536,984 and 752,580 is: 1,054,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,984 : 752,580 = 752,580 : x
  2. Step 2: Convert to fraction form
    536,984/752,580 = 752,580/x
  3. Step 3: Cross multiply
    536,984x = 752,580 × 752,580
  4. Step 4: Simplify right side
    536,984x = 566,376,656,400
  5. Step 5: Solve for x
    x = 566,376,656,400/536,984
  6. Step 6: Final answer
    x = 1,054,736.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.