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Finding the Third Proportional to 511,565.19 and 802,493.75

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Solution

The third proportional to 511,565.19 and 802,493.75 is: 1,258,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,565.19 : 802,493.75 = 802,493.75 : x
  2. Step 2: Convert to fraction form
    511,565.19/802,493.75 = 802,493.75/x
  3. Step 3: Cross multiply
    511,565.19x = 802,493.75 × 802,493.75
  4. Step 4: Simplify right side
    511,565.19x = 643,996,218,789.06
  5. Step 5: Solve for x
    x = 643,996,218,789.06/511,565.19
  6. Step 6: Final answer
    x = 1,258,874.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.