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Finding the Third Proportional to 294,596 and 646,540

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Solution

The third proportional to 294,596 and 646,540 is: 1,418,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,596 : 646,540 = 646,540 : x
  2. Step 2: Convert to fraction form
    294,596/646,540 = 646,540/x
  3. Step 3: Cross multiply
    294,596x = 646,540 × 646,540
  4. Step 4: Simplify right side
    294,596x = 418,013,971,600
  5. Step 5: Solve for x
    x = 418,013,971,600/294,596
  6. Step 6: Final answer
    x = 1,418,939.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.