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Finding the Third Proportional to 230,443.50 and 476,871

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Solution

The third proportional to 230,443.50 and 476,871 is: 986,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,443.50 : 476,871 = 476,871 : x
  2. Step 2: Convert to fraction form
    230,443.50/476,871 = 476,871/x
  3. Step 3: Cross multiply
    230,443.50x = 476,871 × 476,871
  4. Step 4: Simplify right side
    230,443.50x = 227,405,950,641
  5. Step 5: Solve for x
    x = 227,405,950,641/230,443.50
  6. Step 6: Final answer
    x = 986,818.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.