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Finding the Third Proportional to 282,801.38 and 594,686.81

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Solution

The third proportional to 282,801.38 and 594,686.81 is: 1,250,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,801.38 : 594,686.81 = 594,686.81 : x
  2. Step 2: Convert to fraction form
    282,801.38/594,686.81 = 594,686.81/x
  3. Step 3: Cross multiply
    282,801.38x = 594,686.81 × 594,686.81
  4. Step 4: Simplify right side
    282,801.38x = 353,652,404,961.41
  5. Step 5: Solve for x
    x = 353,652,404,961.41/282,801.38
  6. Step 6: Final answer
    x = 1,250,532.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.