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Finding the Third Proportional to 264,264 and 466,464

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Solution

The third proportional to 264,264 and 466,464 is: 823,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,264 : 466,464 = 466,464 : x
  2. Step 2: Convert to fraction form
    264,264/466,464 = 466,464/x
  3. Step 3: Cross multiply
    264,264x = 466,464 × 466,464
  4. Step 4: Simplify right side
    264,264x = 217,588,663,296
  5. Step 5: Solve for x
    x = 217,588,663,296/264,264
  6. Step 6: Final answer
    x = 823,376.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.