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Finding the Third Proportional to 282,178.25 and 602,625.50

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Solution

The third proportional to 282,178.25 and 602,625.50 is: 1,286,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,178.25 : 602,625.50 = 602,625.50 : x
  2. Step 2: Convert to fraction form
    282,178.25/602,625.50 = 602,625.50/x
  3. Step 3: Cross multiply
    282,178.25x = 602,625.50 × 602,625.50
  4. Step 4: Simplify right side
    282,178.25x = 363,157,493,250.25
  5. Step 5: Solve for x
    x = 363,157,493,250.25/282,178.25
  6. Step 6: Final answer
    x = 1,286,979.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.