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Finding the Third Proportional to 301,464 and 466,578

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Solution

The third proportional to 301,464 and 466,578 is: 722,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464 : 466,578 = 466,578 : x
  2. Step 2: Convert to fraction form
    301,464/466,578 = 466,578/x
  3. Step 3: Cross multiply
    301,464x = 466,578 × 466,578
  4. Step 4: Simplify right side
    301,464x = 217,695,030,084
  5. Step 5: Solve for x
    x = 217,695,030,084/301,464
  6. Step 6: Final answer
    x = 722,126.12

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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.