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Finding the Third Proportional to 233,367 and 360,414.38

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Solution

The third proportional to 233,367 and 360,414.38 is: 556,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,367 : 360,414.38 = 360,414.38 : x
  2. Step 2: Convert to fraction form
    233,367/360,414.38 = 360,414.38/x
  3. Step 3: Cross multiply
    233,367x = 360,414.38 × 360,414.38
  4. Step 4: Simplify right side
    233,367x = 129,898,521,706.64
  5. Step 5: Solve for x
    x = 129,898,521,706.64/233,367
  6. Step 6: Final answer
    x = 556,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.