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Finding the Third Proportional to 526,485 and 769,983

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Solution

The third proportional to 526,485 and 769,983 is: 1,126,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,485 : 769,983 = 769,983 : x
  2. Step 2: Convert to fraction form
    526,485/769,983 = 769,983/x
  3. Step 3: Cross multiply
    526,485x = 769,983 × 769,983
  4. Step 4: Simplify right side
    526,485x = 592,873,820,289
  5. Step 5: Solve for x
    x = 592,873,820,289/526,485
  6. Step 6: Final answer
    x = 1,126,098.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.