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Finding the Third Proportional to 233,041.50 and 496,587

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Solution

The third proportional to 233,041.50 and 496,587 is: 1,058,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,041.50 : 496,587 = 496,587 : x
  2. Step 2: Convert to fraction form
    233,041.50/496,587 = 496,587/x
  3. Step 3: Cross multiply
    233,041.50x = 496,587 × 496,587
  4. Step 4: Simplify right side
    233,041.50x = 246,598,648,569
  5. Step 5: Solve for x
    x = 246,598,648,569/233,041.50
  6. Step 6: Final answer
    x = 1,058,174.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.