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Finding the Third Proportional to 427,929 and 662,267

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Solution

The third proportional to 427,929 and 662,267 is: 1,024,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,929 : 662,267 = 662,267 : x
  2. Step 2: Convert to fraction form
    427,929/662,267 = 662,267/x
  3. Step 3: Cross multiply
    427,929x = 662,267 × 662,267
  4. Step 4: Simplify right side
    427,929x = 438,597,579,289
  5. Step 5: Solve for x
    x = 438,597,579,289/427,929
  6. Step 6: Final answer
    x = 1,024,930.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.