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Finding the Third Proportional to 525,708 and 787,686.75

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Solution

The third proportional to 525,708 and 787,686.75 is: 1,180,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,708 : 787,686.75 = 787,686.75 : x
  2. Step 2: Convert to fraction form
    525,708/787,686.75 = 787,686.75/x
  3. Step 3: Cross multiply
    525,708x = 787,686.75 × 787,686.75
  4. Step 4: Simplify right side
    525,708x = 620,450,416,125.56
  5. Step 5: Solve for x
    x = 620,450,416,125.56/525,708
  6. Step 6: Final answer
    x = 1,180,218.71

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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.