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Finding the Third Proportional to 526,484 and 769,982

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Solution

The third proportional to 526,484 and 769,982 is: 1,126,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,484 : 769,982 = 769,982 : x
  2. Step 2: Convert to fraction form
    526,484/769,982 = 769,982/x
  3. Step 3: Cross multiply
    526,484x = 769,982 × 769,982
  4. Step 4: Simplify right side
    526,484x = 592,872,280,324
  5. Step 5: Solve for x
    x = 592,872,280,324/526,484
  6. Step 6: Final answer
    x = 1,126,097.43

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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.