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Finding the Third Proportional to 467,263.13 and 732,034.13

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Solution

The third proportional to 467,263.13 and 732,034.13 is: 1,146,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,263.13 : 732,034.13 = 732,034.13 : x
  2. Step 2: Convert to fraction form
    467,263.13/732,034.13 = 732,034.13/x
  3. Step 3: Cross multiply
    467,263.13x = 732,034.13 × 732,034.13
  4. Step 4: Simplify right side
    467,263.13x = 535,873,960,164.52
  5. Step 5: Solve for x
    x = 535,873,960,164.52/467,263.13
  6. Step 6: Final answer
    x = 1,146,835.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.