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Finding the Third Proportional to 363,246 and 566,945

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Solution

The third proportional to 363,246 and 566,945 is: 884,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,246 : 566,945 = 566,945 : x
  2. Step 2: Convert to fraction form
    363,246/566,945 = 566,945/x
  3. Step 3: Cross multiply
    363,246x = 566,945 × 566,945
  4. Step 4: Simplify right side
    363,246x = 321,426,633,025
  5. Step 5: Solve for x
    x = 321,426,633,025/363,246
  6. Step 6: Final answer
    x = 884,873.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.