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Finding the Third Proportional to 295,208 and 611,422

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Solution

The third proportional to 295,208 and 611,422 is: 1,266,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,208 : 611,422 = 611,422 : x
  2. Step 2: Convert to fraction form
    295,208/611,422 = 611,422/x
  3. Step 3: Cross multiply
    295,208x = 611,422 × 611,422
  4. Step 4: Simplify right side
    295,208x = 373,836,862,084
  5. Step 5: Solve for x
    x = 373,836,862,084/295,208
  6. Step 6: Final answer
    x = 1,266,350.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.