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Finding the Third Proportional to 282,214.13 and 602,700.75

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Solution

The third proportional to 282,214.13 and 602,700.75 is: 1,287,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,214.13 : 602,700.75 = 602,700.75 : x
  2. Step 2: Convert to fraction form
    282,214.13/602,700.75 = 602,700.75/x
  3. Step 3: Cross multiply
    282,214.13x = 602,700.75 × 602,700.75
  4. Step 4: Simplify right side
    282,214.13x = 363,248,194,050.56
  5. Step 5: Solve for x
    x = 363,248,194,050.56/282,214.13
  6. Step 6: Final answer
    x = 1,287,136.83

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