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Finding the Third Proportional to 273,146 and 428,486

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Solution

The third proportional to 273,146 and 428,486 is: 672,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,146 : 428,486 = 428,486 : x
  2. Step 2: Convert to fraction form
    273,146/428,486 = 428,486/x
  3. Step 3: Cross multiply
    273,146x = 428,486 × 428,486
  4. Step 4: Simplify right side
    273,146x = 183,600,252,196
  5. Step 5: Solve for x
    x = 183,600,252,196/273,146
  6. Step 6: Final answer
    x = 672,168.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.