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Finding the Third Proportional to 450,109 and 690,195

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Solution

The third proportional to 450,109 and 690,195 is: 1,058,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,109 : 690,195 = 690,195 : x
  2. Step 2: Convert to fraction form
    450,109/690,195 = 690,195/x
  3. Step 3: Cross multiply
    450,109x = 690,195 × 690,195
  4. Step 4: Simplify right side
    450,109x = 476,369,138,025
  5. Step 5: Solve for x
    x = 476,369,138,025/450,109
  6. Step 6: Final answer
    x = 1,058,341.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.