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Finding the Third Proportional to 594,204 and 878,202

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Solution

The third proportional to 594,204 and 878,202 is: 1,297,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,204 : 878,202 = 878,202 : x
  2. Step 2: Convert to fraction form
    594,204/878,202 = 878,202/x
  3. Step 3: Cross multiply
    594,204x = 878,202 × 878,202
  4. Step 4: Simplify right side
    594,204x = 771,238,752,804
  5. Step 5: Solve for x
    x = 771,238,752,804/594,204
  6. Step 6: Final answer
    x = 1,297,935.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.