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Finding the Third Proportional to 499,376 and 782,534

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Solution

The third proportional to 499,376 and 782,534 is: 1,226,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,376 : 782,534 = 782,534 : x
  2. Step 2: Convert to fraction form
    499,376/782,534 = 782,534/x
  3. Step 3: Cross multiply
    499,376x = 782,534 × 782,534
  4. Step 4: Simplify right side
    499,376x = 612,359,461,156
  5. Step 5: Solve for x
    x = 612,359,461,156/499,376
  6. Step 6: Final answer
    x = 1,226,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.