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Finding the Third Proportional to 462,654 and 674,289

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Solution

The third proportional to 462,654 and 674,289 is: 982,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,654 : 674,289 = 674,289 : x
  2. Step 2: Convert to fraction form
    462,654/674,289 = 674,289/x
  3. Step 3: Cross multiply
    462,654x = 674,289 × 674,289
  4. Step 4: Simplify right side
    462,654x = 454,665,655,521
  5. Step 5: Solve for x
    x = 454,665,655,521/462,654
  6. Step 6: Final answer
    x = 982,733.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.