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Finding the Third Proportional to 226,229 and 497,289

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Solution

The third proportional to 226,229 and 497,289 is: 1,093,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,229 : 497,289 = 497,289 : x
  2. Step 2: Convert to fraction form
    226,229/497,289 = 497,289/x
  3. Step 3: Cross multiply
    226,229x = 497,289 × 497,289
  4. Step 4: Simplify right side
    226,229x = 247,296,349,521
  5. Step 5: Solve for x
    x = 247,296,349,521/226,229
  6. Step 6: Final answer
    x = 1,093,124.00

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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.