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Finding the Third Proportional to 445,302 and 690,642

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Solution

The third proportional to 445,302 and 690,642 is: 1,071,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,302 : 690,642 = 690,642 : x
  2. Step 2: Convert to fraction form
    445,302/690,642 = 690,642/x
  3. Step 3: Cross multiply
    445,302x = 690,642 × 690,642
  4. Step 4: Simplify right side
    445,302x = 476,986,372,164
  5. Step 5: Solve for x
    x = 476,986,372,164/445,302
  6. Step 6: Final answer
    x = 1,071,152.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.