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Finding the Third Proportional to 308,468 and 466,592

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Solution

The third proportional to 308,468 and 466,592 is: 705,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,468 : 466,592 = 466,592 : x
  2. Step 2: Convert to fraction form
    308,468/466,592 = 466,592/x
  3. Step 3: Cross multiply
    308,468x = 466,592 × 466,592
  4. Step 4: Simplify right side
    308,468x = 217,708,094,464
  5. Step 5: Solve for x
    x = 217,708,094,464/308,468
  6. Step 6: Final answer
    x = 705,772.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.