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Finding the Third Proportional to 351,982 and 527,984.50

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Solution

The third proportional to 351,982 and 527,984.50 is: 791,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,982 : 527,984.50 = 527,984.50 : x
  2. Step 2: Convert to fraction form
    351,982/527,984.50 = 527,984.50/x
  3. Step 3: Cross multiply
    351,982x = 527,984.50 × 527,984.50
  4. Step 4: Simplify right side
    351,982x = 278,767,632,240.25
  5. Step 5: Solve for x
    x = 278,767,632,240.25/351,982
  6. Step 6: Final answer
    x = 791,994.00

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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.