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Finding the Third Proportional to 230,594 and 496,762

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Solution

The third proportional to 230,594 and 496,762 is: 1,070,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,594 : 496,762 = 496,762 : x
  2. Step 2: Convert to fraction form
    230,594/496,762 = 496,762/x
  3. Step 3: Cross multiply
    230,594x = 496,762 × 496,762
  4. Step 4: Simplify right side
    230,594x = 246,772,484,644
  5. Step 5: Solve for x
    x = 246,772,484,644/230,594
  6. Step 6: Final answer
    x = 1,070,160.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.