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Finding the Third Proportional to 282,264 and 413,028

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Solution

The third proportional to 282,264 and 413,028 is: 604,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,264 : 413,028 = 413,028 : x
  2. Step 2: Convert to fraction form
    282,264/413,028 = 413,028/x
  3. Step 3: Cross multiply
    282,264x = 413,028 × 413,028
  4. Step 4: Simplify right side
    282,264x = 170,592,128,784
  5. Step 5: Solve for x
    x = 170,592,128,784/282,264
  6. Step 6: Final answer
    x = 604,370.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.