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Finding the Third Proportional to 294,351 and 655,320

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Solution

The third proportional to 294,351 and 655,320 is: 1,458,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,351 : 655,320 = 655,320 : x
  2. Step 2: Convert to fraction form
    294,351/655,320 = 655,320/x
  3. Step 3: Cross multiply
    294,351x = 655,320 × 655,320
  4. Step 4: Simplify right side
    294,351x = 429,444,302,400
  5. Step 5: Solve for x
    x = 429,444,302,400/294,351
  6. Step 6: Final answer
    x = 1,458,953.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.