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Finding the Third Proportional to 698,276.64 and 1,067,713.05

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Solution

The third proportional to 698,276.64 and 1,067,713.05 is: 1,632,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,276.64 : 1,067,713.05 = 1,067,713.05 : x
  2. Step 2: Convert to fraction form
    698,276.64/1,067,713.05 = 1,067,713.05/x
  3. Step 3: Cross multiply
    698,276.64x = 1,067,713.05 × 1,067,713.05
  4. Step 4: Simplify right side
    698,276.64x = 1,140,011,154,637.80
  5. Step 5: Solve for x
    x = 1,140,011,154,637.80/698,276.64
  6. Step 6: Final answer
    x = 1,632,606.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.