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Finding the Third Proportional to 345,256 and 466,464

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Solution

The third proportional to 345,256 and 466,464 is: 630,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,256 : 466,464 = 466,464 : x
  2. Step 2: Convert to fraction form
    345,256/466,464 = 466,464/x
  3. Step 3: Cross multiply
    345,256x = 466,464 × 466,464
  4. Step 4: Simplify right side
    345,256x = 217,588,663,296
  5. Step 5: Solve for x
    x = 217,588,663,296/345,256
  6. Step 6: Final answer
    x = 630,224.13

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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.