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Finding the Third Proportional to 525,098 and 787,485

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Solution

The third proportional to 525,098 and 787,485 is: 1,180,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,098 : 787,485 = 787,485 : x
  2. Step 2: Convert to fraction form
    525,098/787,485 = 787,485/x
  3. Step 3: Cross multiply
    525,098x = 787,485 × 787,485
  4. Step 4: Simplify right side
    525,098x = 620,132,625,225
  5. Step 5: Solve for x
    x = 620,132,625,225/525,098
  6. Step 6: Final answer
    x = 1,180,984.55

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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.