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Finding the Third Proportional to 233,720.65 and 502,351.66

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Solution

The third proportional to 233,720.65 and 502,351.66 is: 1,079,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,720.65 : 502,351.66 = 502,351.66 : x
  2. Step 2: Convert to fraction form
    233,720.65/502,351.66 = 502,351.66/x
  3. Step 3: Cross multiply
    233,720.65x = 502,351.66 × 502,351.66
  4. Step 4: Simplify right side
    233,720.65x = 252,357,194,386.36
  5. Step 5: Solve for x
    x = 252,357,194,386.36/233,720.65
  6. Step 6: Final answer
    x = 1,079,738.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.