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Finding the Third Proportional to 293,005 and 594,154

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Solution

The third proportional to 293,005 and 594,154 is: 1,204,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,005 : 594,154 = 594,154 : x
  2. Step 2: Convert to fraction form
    293,005/594,154 = 594,154/x
  3. Step 3: Cross multiply
    293,005x = 594,154 × 594,154
  4. Step 4: Simplify right side
    293,005x = 353,018,975,716
  5. Step 5: Solve for x
    x = 353,018,975,716/293,005
  6. Step 6: Final answer
    x = 1,204,822.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.