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Finding the Third Proportional to 497,713.50 and 1,088,565.75

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Solution

The third proportional to 497,713.50 and 1,088,565.75 is: 2,380,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,713.50 : 1,088,565.75 = 1,088,565.75 : x
  2. Step 2: Convert to fraction form
    497,713.50/1,088,565.75 = 1,088,565.75/x
  3. Step 3: Cross multiply
    497,713.50x = 1,088,565.75 × 1,088,565.75
  4. Step 4: Simplify right side
    497,713.50x = 1,184,975,392,073.06
  5. Step 5: Solve for x
    x = 1,184,975,392,073.06/497,713.50
  6. Step 6: Final answer
    x = 2,380,838.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.