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Finding the Third Proportional to 293,663 and 633,982

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Solution

The third proportional to 293,663 and 633,982 is: 1,368,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,663 : 633,982 = 633,982 : x
  2. Step 2: Convert to fraction form
    293,663/633,982 = 633,982/x
  3. Step 3: Cross multiply
    293,663x = 633,982 × 633,982
  4. Step 4: Simplify right side
    293,663x = 401,933,176,324
  5. Step 5: Solve for x
    x = 401,933,176,324/293,663
  6. Step 6: Final answer
    x = 1,368,688.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.