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Finding the Third Proportional to 232,776 and 496,080

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Solution

The third proportional to 232,776 and 496,080 is: 1,057,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,776 : 496,080 = 496,080 : x
  2. Step 2: Convert to fraction form
    232,776/496,080 = 496,080/x
  3. Step 3: Cross multiply
    232,776x = 496,080 × 496,080
  4. Step 4: Simplify right side
    232,776x = 246,095,366,400
  5. Step 5: Solve for x
    x = 246,095,366,400/232,776
  6. Step 6: Final answer
    x = 1,057,219.67

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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.