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Finding the Third Proportional to 354,144 and 532,560

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Solution

The third proportional to 354,144 and 532,560 is: 800,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,144 : 532,560 = 532,560 : x
  2. Step 2: Convert to fraction form
    354,144/532,560 = 532,560/x
  3. Step 3: Cross multiply
    354,144x = 532,560 × 532,560
  4. Step 4: Simplify right side
    354,144x = 283,620,153,600
  5. Step 5: Solve for x
    x = 283,620,153,600/354,144
  6. Step 6: Final answer
    x = 800,861.10

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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.