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Finding the Third Proportional to 294,347 and 655,312

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Solution

The third proportional to 294,347 and 655,312 is: 1,458,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,347 : 655,312 = 655,312 : x
  2. Step 2: Convert to fraction form
    294,347/655,312 = 655,312/x
  3. Step 3: Cross multiply
    294,347x = 655,312 × 655,312
  4. Step 4: Simplify right side
    294,347x = 429,433,817,344
  5. Step 5: Solve for x
    x = 429,433,817,344/294,347
  6. Step 6: Final answer
    x = 1,458,937.30

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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.