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Finding the Third Proportional to 525,100 and 787,488

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Solution

The third proportional to 525,100 and 787,488 is: 1,180,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,100 : 787,488 = 787,488 : x
  2. Step 2: Convert to fraction form
    525,100/787,488 = 787,488/x
  3. Step 3: Cross multiply
    525,100x = 787,488 × 787,488
  4. Step 4: Simplify right side
    525,100x = 620,137,350,144
  5. Step 5: Solve for x
    x = 620,137,350,144/525,100
  6. Step 6: Final answer
    x = 1,180,989.05

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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.