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Finding the Third Proportional to 386,592.75 and 799,702.88

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Solution

The third proportional to 386,592.75 and 799,702.88 is: 1,654,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,592.75 : 799,702.88 = 799,702.88 : x
  2. Step 2: Convert to fraction form
    386,592.75/799,702.88 = 799,702.88/x
  3. Step 3: Cross multiply
    386,592.75x = 799,702.88 × 799,702.88
  4. Step 4: Simplify right side
    386,592.75x = 639,524,688,283.27
  5. Step 5: Solve for x
    x = 639,524,688,283.27/386,592.75
  6. Step 6: Final answer
    x = 1,654,259.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.