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Finding the Third Proportional to 301,473 and 466,590

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Solution

The third proportional to 301,473 and 466,590 is: 722,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,473 : 466,590 = 466,590 : x
  2. Step 2: Convert to fraction form
    301,473/466,590 = 466,590/x
  3. Step 3: Cross multiply
    301,473x = 466,590 × 466,590
  4. Step 4: Simplify right side
    301,473x = 217,706,228,100
  5. Step 5: Solve for x
    x = 217,706,228,100/301,473
  6. Step 6: Final answer
    x = 722,141.71

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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.