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Finding the Third Proportional to 527,978 and 756,604

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Solution

The third proportional to 527,978 and 756,604 is: 1,084,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,978 : 756,604 = 756,604 : x
  2. Step 2: Convert to fraction form
    527,978/756,604 = 756,604/x
  3. Step 3: Cross multiply
    527,978x = 756,604 × 756,604
  4. Step 4: Simplify right side
    527,978x = 572,449,612,816
  5. Step 5: Solve for x
    x = 572,449,612,816/527,978
  6. Step 6: Final answer
    x = 1,084,230.05

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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.