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Finding the Third Proportional to 308,583 and 655,074

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Solution

The third proportional to 308,583 and 655,074 is: 1,390,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,583 : 655,074 = 655,074 : x
  2. Step 2: Convert to fraction form
    308,583/655,074 = 655,074/x
  3. Step 3: Cross multiply
    308,583x = 655,074 × 655,074
  4. Step 4: Simplify right side
    308,583x = 429,121,945,476
  5. Step 5: Solve for x
    x = 429,121,945,476/308,583
  6. Step 6: Final answer
    x = 1,390,620.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.