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Finding the Third Proportional to 362,872.13 and 576,486

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Solution

The third proportional to 362,872.13 and 576,486 is: 915,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,872.13 : 576,486 = 576,486 : x
  2. Step 2: Convert to fraction form
    362,872.13/576,486 = 576,486/x
  3. Step 3: Cross multiply
    362,872.13x = 576,486 × 576,486
  4. Step 4: Simplify right side
    362,872.13x = 332,336,108,196
  5. Step 5: Solve for x
    x = 332,336,108,196/362,872.13
  6. Step 6: Final answer
    x = 915,849.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.