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Finding the Third Proportional to 707,143.50 and 1,094,725.13

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Solution

The third proportional to 707,143.50 and 1,094,725.13 is: 1,694,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,143.50 : 1,094,725.13 = 1,094,725.13 : x
  2. Step 2: Convert to fraction form
    707,143.50/1,094,725.13 = 1,094,725.13/x
  3. Step 3: Cross multiply
    707,143.50x = 1,094,725.13 × 1,094,725.13
  4. Step 4: Simplify right side
    707,143.50x = 1,198,423,099,306.27
  5. Step 5: Solve for x
    x = 1,198,423,099,306.27/707,143.50
  6. Step 6: Final answer
    x = 1,694,738.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.