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Finding the Third Proportional to 263,680 and 579,776

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Solution

The third proportional to 263,680 and 579,776 is: 1,274,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,680 : 579,776 = 579,776 : x
  2. Step 2: Convert to fraction form
    263,680/579,776 = 579,776/x
  3. Step 3: Cross multiply
    263,680x = 579,776 × 579,776
  4. Step 4: Simplify right side
    263,680x = 336,140,210,176
  5. Step 5: Solve for x
    x = 336,140,210,176/263,680
  6. Step 6: Final answer
    x = 1,274,803.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.