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Finding the Third Proportional to 262,564 and 393,750

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Solution

The third proportional to 262,564 and 393,750 is: 590,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,564 : 393,750 = 393,750 : x
  2. Step 2: Convert to fraction form
    262,564/393,750 = 393,750/x
  3. Step 3: Cross multiply
    262,564x = 393,750 × 393,750
  4. Step 4: Simplify right side
    262,564x = 155,039,062,500
  5. Step 5: Solve for x
    x = 155,039,062,500/262,564
  6. Step 6: Final answer
    x = 590,481.04

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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.