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Finding the Third Proportional to 292,228 and 373,414

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Solution

The third proportional to 292,228 and 373,414 is: 477,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,228 : 373,414 = 373,414 : x
  2. Step 2: Convert to fraction form
    292,228/373,414 = 373,414/x
  3. Step 3: Cross multiply
    292,228x = 373,414 × 373,414
  4. Step 4: Simplify right side
    292,228x = 139,438,015,396
  5. Step 5: Solve for x
    x = 139,438,015,396/292,228
  6. Step 6: Final answer
    x = 477,154.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.