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Finding the Third Proportional to 351,982 and 527,985

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Solution

The third proportional to 351,982 and 527,985 is: 791,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,982 : 527,985 = 527,985 : x
  2. Step 2: Convert to fraction form
    351,982/527,985 = 527,985/x
  3. Step 3: Cross multiply
    351,982x = 527,985 × 527,985
  4. Step 4: Simplify right side
    351,982x = 278,768,160,225
  5. Step 5: Solve for x
    x = 278,768,160,225/351,982
  6. Step 6: Final answer
    x = 791,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.