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Finding the Third Proportional to 525,829.50 and 787,853.25

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Solution

The third proportional to 525,829.50 and 787,853.25 is: 1,180,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,829.50 : 787,853.25 = 787,853.25 : x
  2. Step 2: Convert to fraction form
    525,829.50/787,853.25 = 787,853.25/x
  3. Step 3: Cross multiply
    525,829.50x = 787,853.25 × 787,853.25
  4. Step 4: Simplify right side
    525,829.50x = 620,712,743,535.56
  5. Step 5: Solve for x
    x = 620,712,743,535.56/525,829.50
  6. Step 6: Final answer
    x = 1,180,444.88

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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.