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Finding the Third Proportional to 525,107 and 787,498

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Solution

The third proportional to 525,107 and 787,498 is: 1,181,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,107 : 787,498 = 787,498 : x
  2. Step 2: Convert to fraction form
    525,107/787,498 = 787,498/x
  3. Step 3: Cross multiply
    525,107x = 787,498 × 787,498
  4. Step 4: Simplify right side
    525,107x = 620,153,100,004
  5. Step 5: Solve for x
    x = 620,153,100,004/525,107
  6. Step 6: Final answer
    x = 1,181,003.30

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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.