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Finding the Third Proportional to 301,454 and 466,561

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Solution

The third proportional to 301,454 and 466,561 is: 722,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,454 : 466,561 = 466,561 : x
  2. Step 2: Convert to fraction form
    301,454/466,561 = 466,561/x
  3. Step 3: Cross multiply
    301,454x = 466,561 × 466,561
  4. Step 4: Simplify right side
    301,454x = 217,679,166,721
  5. Step 5: Solve for x
    x = 217,679,166,721/301,454
  6. Step 6: Final answer
    x = 722,097.46

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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.