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Finding the Third Proportional to 360,132.75 and 772,753.50

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Solution

The third proportional to 360,132.75 and 772,753.50 is: 1,658,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,132.75 : 772,753.50 = 772,753.50 : x
  2. Step 2: Convert to fraction form
    360,132.75/772,753.50 = 772,753.50/x
  3. Step 3: Cross multiply
    360,132.75x = 772,753.50 × 772,753.50
  4. Step 4: Simplify right side
    360,132.75x = 597,147,971,762.25
  5. Step 5: Solve for x
    x = 597,147,971,762.25/360,132.75
  6. Step 6: Final answer
    x = 1,658,132.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.