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Finding the Third Proportional to 338,775.75 and 752,284.13

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Solution

The third proportional to 338,775.75 and 752,284.13 is: 1,670,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,775.75 : 752,284.13 = 752,284.13 : x
  2. Step 2: Convert to fraction form
    338,775.75/752,284.13 = 752,284.13/x
  3. Step 3: Cross multiply
    338,775.75x = 752,284.13 × 752,284.13
  4. Step 4: Simplify right side
    338,775.75x = 565,931,404,727.02
  5. Step 5: Solve for x
    x = 565,931,404,727.02/338,775.75
  6. Step 6: Final answer
    x = 1,670,519.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.