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Finding the Third Proportional to 218,368.13 and 462,979.13

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Solution

The third proportional to 218,368.13 and 462,979.13 is: 981,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,368.13 : 462,979.13 = 462,979.13 : x
  2. Step 2: Convert to fraction form
    218,368.13/462,979.13 = 462,979.13/x
  3. Step 3: Cross multiply
    218,368.13x = 462,979.13 × 462,979.13
  4. Step 4: Simplify right side
    218,368.13x = 214,349,670,185.77
  5. Step 5: Solve for x
    x = 214,349,670,185.77/218,368.13
  6. Step 6: Final answer
    x = 981,597.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.