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Finding the Third Proportional to 321,923.81 and 498,241.13

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Solution

The third proportional to 321,923.81 and 498,241.13 is: 771,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,923.81 : 498,241.13 = 498,241.13 : x
  2. Step 2: Convert to fraction form
    321,923.81/498,241.13 = 498,241.13/x
  3. Step 3: Cross multiply
    321,923.81x = 498,241.13 × 498,241.13
  4. Step 4: Simplify right side
    321,923.81x = 248,244,218,641.27
  5. Step 5: Solve for x
    x = 248,244,218,641.27/321,923.81
  6. Step 6: Final answer
    x = 771,127.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.