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Finding the Third Proportional to 282,178.38 and 602,625.88

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Solution

The third proportional to 282,178.38 and 602,625.88 is: 1,286,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,178.38 : 602,625.88 = 602,625.88 : x
  2. Step 2: Convert to fraction form
    282,178.38/602,625.88 = 602,625.88/x
  3. Step 3: Cross multiply
    282,178.38x = 602,625.88 × 602,625.88
  4. Step 4: Simplify right side
    282,178.38x = 363,157,945,219.52
  5. Step 5: Solve for x
    x = 363,157,945,219.52/282,178.38
  6. Step 6: Final answer
    x = 1,286,980.07

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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.