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Finding the Third Proportional to 338,833.13 and 524,935.69

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Solution

The third proportional to 338,833.13 and 524,935.69 is: 813,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,833.13 : 524,935.69 = 524,935.69 : x
  2. Step 2: Convert to fraction form
    338,833.13/524,935.69 = 524,935.69/x
  3. Step 3: Cross multiply
    338,833.13x = 524,935.69 × 524,935.69
  4. Step 4: Simplify right side
    338,833.13x = 275,557,476,011.10
  5. Step 5: Solve for x
    x = 275,557,476,011.10/338,833.13
  6. Step 6: Final answer
    x = 813,254.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.