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Finding the Third Proportional to 272,823.47 and 413,009.44

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Solution

The third proportional to 272,823.47 and 413,009.44 is: 625,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,823.47 : 413,009.44 = 413,009.44 : x
  2. Step 2: Convert to fraction form
    272,823.47/413,009.44 = 413,009.44/x
  3. Step 3: Cross multiply
    272,823.47x = 413,009.44 × 413,009.44
  4. Step 4: Simplify right side
    272,823.47x = 170,576,795,464.07
  5. Step 5: Solve for x
    x = 170,576,795,464.07/272,823.47
  6. Step 6: Final answer
    x = 625,227.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.