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Finding the Third Proportional to 282,097.50 and 412,335.75

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Solution

The third proportional to 282,097.50 and 412,335.75 is: 602,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.50 : 412,335.75 = 412,335.75 : x
  2. Step 2: Convert to fraction form
    282,097.50/412,335.75 = 412,335.75/x
  3. Step 3: Cross multiply
    282,097.50x = 412,335.75 × 412,335.75
  4. Step 4: Simplify right side
    282,097.50x = 170,020,770,728.06
  5. Step 5: Solve for x
    x = 170,020,770,728.06/282,097.50
  6. Step 6: Final answer
    x = 602,702.15

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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.