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Finding the Third Proportional to 525,128 and 787,500

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Solution

The third proportional to 525,128 and 787,500 is: 1,180,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,128 : 787,500 = 787,500 : x
  2. Step 2: Convert to fraction form
    525,128/787,500 = 787,500/x
  3. Step 3: Cross multiply
    525,128x = 787,500 × 787,500
  4. Step 4: Simplify right side
    525,128x = 620,156,250,000
  5. Step 5: Solve for x
    x = 620,156,250,000/525,128
  6. Step 6: Final answer
    x = 1,180,962.07

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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.