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Finding the Third Proportional to 524,999 and 787,336

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Solution

The third proportional to 524,999 and 787,336 is: 1,180,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,999 : 787,336 = 787,336 : x
  2. Step 2: Convert to fraction form
    524,999/787,336 = 787,336/x
  3. Step 3: Cross multiply
    524,999x = 787,336 × 787,336
  4. Step 4: Simplify right side
    524,999x = 619,897,976,896
  5. Step 5: Solve for x
    x = 619,897,976,896/524,999
  6. Step 6: Final answer
    x = 1,180,760.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.