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Finding the Third Proportional to 226,314 and 497,826

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Solution

The third proportional to 226,314 and 497,826 is: 1,095,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,314 : 497,826 = 497,826 : x
  2. Step 2: Convert to fraction form
    226,314/497,826 = 497,826/x
  3. Step 3: Cross multiply
    226,314x = 497,826 × 497,826
  4. Step 4: Simplify right side
    226,314x = 247,830,726,276
  5. Step 5: Solve for x
    x = 247,830,726,276/226,314
  6. Step 6: Final answer
    x = 1,095,074.66

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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.