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Finding the Third Proportional to 293,364 and 442,854

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Solution

The third proportional to 293,364 and 442,854 is: 668,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,364 : 442,854 = 442,854 : x
  2. Step 2: Convert to fraction form
    293,364/442,854 = 442,854/x
  3. Step 3: Cross multiply
    293,364x = 442,854 × 442,854
  4. Step 4: Simplify right side
    293,364x = 196,119,665,316
  5. Step 5: Solve for x
    x = 196,119,665,316/293,364
  6. Step 6: Final answer
    x = 668,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.