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Finding the Third Proportional to 288,150.47 and 462,980.53

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Solution

The third proportional to 288,150.47 and 462,980.53 is: 743,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,150.47 : 462,980.53 = 462,980.53 : x
  2. Step 2: Convert to fraction form
    288,150.47/462,980.53 = 462,980.53/x
  3. Step 3: Cross multiply
    288,150.47x = 462,980.53 × 462,980.53
  4. Step 4: Simplify right side
    288,150.47x = 214,350,972,316.53
  5. Step 5: Solve for x
    x = 214,350,972,316.53/288,150.47
  6. Step 6: Final answer
    x = 743,885.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.