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Finding the Third Proportional to 372,238 and 453,886

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Solution

The third proportional to 372,238 and 453,886 is: 553,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,238 : 453,886 = 453,886 : x
  2. Step 2: Convert to fraction form
    372,238/453,886 = 453,886/x
  3. Step 3: Cross multiply
    372,238x = 453,886 × 453,886
  4. Step 4: Simplify right side
    372,238x = 206,012,500,996
  5. Step 5: Solve for x
    x = 206,012,500,996/372,238
  6. Step 6: Final answer
    x = 553,442.96

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.