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Finding the Third Proportional to 293,818 and 636,484

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Solution

The third proportional to 293,818 and 636,484 is: 1,378,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,818 : 636,484 = 636,484 : x
  2. Step 2: Convert to fraction form
    293,818/636,484 = 636,484/x
  3. Step 3: Cross multiply
    293,818x = 636,484 × 636,484
  4. Step 4: Simplify right side
    293,818x = 405,111,882,256
  5. Step 5: Solve for x
    x = 405,111,882,256/293,818
  6. Step 6: Final answer
    x = 1,378,785.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.