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Finding the Third Proportional to 499,371 and 782,525

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Solution

The third proportional to 499,371 and 782,525 is: 1,226,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,371 : 782,525 = 782,525 : x
  2. Step 2: Convert to fraction form
    499,371/782,525 = 782,525/x
  3. Step 3: Cross multiply
    499,371x = 782,525 × 782,525
  4. Step 4: Simplify right side
    499,371x = 612,345,375,625
  5. Step 5: Solve for x
    x = 612,345,375,625/499,371
  6. Step 6: Final answer
    x = 1,226,233.35

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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.