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Finding the Third Proportional to 803,722.50 and 1,094,532.75

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Solution

The third proportional to 803,722.50 and 1,094,532.75 is: 1,490,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,722.50 : 1,094,532.75 = 1,094,532.75 : x
  2. Step 2: Convert to fraction form
    803,722.50/1,094,532.75 = 1,094,532.75/x
  3. Step 3: Cross multiply
    803,722.50x = 1,094,532.75 × 1,094,532.75
  4. Step 4: Simplify right side
    803,722.50x = 1,198,001,940,822.56
  5. Step 5: Solve for x
    x = 1,198,001,940,822.56/803,722.50
  6. Step 6: Final answer
    x = 1,490,566.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.