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Finding the Third Proportional to 700,950.38 and 1,050,257.81

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Solution

The third proportional to 700,950.38 and 1,050,257.81 is: 1,573,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,950.38 : 1,050,257.81 = 1,050,257.81 : x
  2. Step 2: Convert to fraction form
    700,950.38/1,050,257.81 = 1,050,257.81/x
  3. Step 3: Cross multiply
    700,950.38x = 1,050,257.81 × 1,050,257.81
  4. Step 4: Simplify right side
    700,950.38x = 1,103,041,472,717.29
  5. Step 5: Solve for x
    x = 1,103,041,472,717.29/700,950.38
  6. Step 6: Final answer
    x = 1,573,637.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.