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Finding the Third Proportional to 268,521.19 and 579,066.19

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Solution

The third proportional to 268,521.19 and 579,066.19 is: 1,248,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,521.19 : 579,066.19 = 579,066.19 : x
  2. Step 2: Convert to fraction form
    268,521.19/579,066.19 = 579,066.19/x
  3. Step 3: Cross multiply
    268,521.19x = 579,066.19 × 579,066.19
  4. Step 4: Simplify right side
    268,521.19x = 335,317,649,505.79
  5. Step 5: Solve for x
    x = 335,317,649,505.79/268,521.19
  6. Step 6: Final answer
    x = 1,248,756.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.