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Finding the Third Proportional to 632,497.50 and 1,288,424.25

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Solution

The third proportional to 632,497.50 and 1,288,424.25 is: 2,624,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,497.50 : 1,288,424.25 = 1,288,424.25 : x
  2. Step 2: Convert to fraction form
    632,497.50/1,288,424.25 = 1,288,424.25/x
  3. Step 3: Cross multiply
    632,497.50x = 1,288,424.25 × 1,288,424.25
  4. Step 4: Simplify right side
    632,497.50x = 1,660,037,047,988.06
  5. Step 5: Solve for x
    x = 1,660,037,047,988.06/632,497.50
  6. Step 6: Final answer
    x = 2,624,574.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.