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Finding the Third Proportional to 526,486 and 769,985

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Solution

The third proportional to 526,486 and 769,985 is: 1,126,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,486 : 769,985 = 769,985 : x
  2. Step 2: Convert to fraction form
    526,486/769,985 = 769,985/x
  3. Step 3: Cross multiply
    526,486x = 769,985 × 769,985
  4. Step 4: Simplify right side
    526,486x = 592,876,900,225
  5. Step 5: Solve for x
    x = 592,876,900,225/526,486
  6. Step 6: Final answer
    x = 1,126,101.93

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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.