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Finding the Third Proportional to 233,035 and 496,574

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Solution

The third proportional to 233,035 and 496,574 is: 1,058,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,035 : 496,574 = 496,574 : x
  2. Step 2: Convert to fraction form
    233,035/496,574 = 496,574/x
  3. Step 3: Cross multiply
    233,035x = 496,574 × 496,574
  4. Step 4: Simplify right side
    233,035x = 246,585,737,476
  5. Step 5: Solve for x
    x = 246,585,737,476/233,035
  6. Step 6: Final answer
    x = 1,058,148.94

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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.