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Finding the Third Proportional to 462,646 and 690,118.25

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Solution

The third proportional to 462,646 and 690,118.25 is: 1,029,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,646 : 690,118.25 = 690,118.25 : x
  2. Step 2: Convert to fraction form
    462,646/690,118.25 = 690,118.25/x
  3. Step 3: Cross multiply
    462,646x = 690,118.25 × 690,118.25
  4. Step 4: Simplify right side
    462,646x = 476,263,198,983.06
  5. Step 5: Solve for x
    x = 476,263,198,983.06/462,646
  6. Step 6: Final answer
    x = 1,029,433.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.