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Finding the Third Proportional to 523,776 and 784,800

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Solution

The third proportional to 523,776 and 784,800 is: 1,175,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,776 : 784,800 = 784,800 : x
  2. Step 2: Convert to fraction form
    523,776/784,800 = 784,800/x
  3. Step 3: Cross multiply
    523,776x = 784,800 × 784,800
  4. Step 4: Simplify right side
    523,776x = 615,911,040,000
  5. Step 5: Solve for x
    x = 615,911,040,000/523,776
  6. Step 6: Final answer
    x = 1,175,905.43

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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.