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Finding the Third Proportional to 704,251.50 and 1,056,529.13

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Solution

The third proportional to 704,251.50 and 1,056,529.13 is: 1,585,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,251.50 : 1,056,529.13 = 1,056,529.13 : x
  2. Step 2: Convert to fraction form
    704,251.50/1,056,529.13 = 1,056,529.13/x
  3. Step 3: Cross multiply
    704,251.50x = 1,056,529.13 × 1,056,529.13
  4. Step 4: Simplify right side
    704,251.50x = 1,116,253,791,973.27
  5. Step 5: Solve for x
    x = 1,116,253,791,973.27/704,251.50
  6. Step 6: Final answer
    x = 1,585,021.53

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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.