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Finding the Third Proportional to 345,214 and 466,407

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Solution

The third proportional to 345,214 and 466,407 is: 630,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,214 : 466,407 = 466,407 : x
  2. Step 2: Convert to fraction form
    345,214/466,407 = 466,407/x
  3. Step 3: Cross multiply
    345,214x = 466,407 × 466,407
  4. Step 4: Simplify right side
    345,214x = 217,535,489,649
  5. Step 5: Solve for x
    x = 217,535,489,649/345,214
  6. Step 6: Final answer
    x = 630,146.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.