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Finding the Third Proportional to 226,810 and 482,294

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Solution

The third proportional to 226,810 and 482,294 is: 1,025,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,810 : 482,294 = 482,294 : x
  2. Step 2: Convert to fraction form
    226,810/482,294 = 482,294/x
  3. Step 3: Cross multiply
    226,810x = 482,294 × 482,294
  4. Step 4: Simplify right side
    226,810x = 232,607,502,436
  5. Step 5: Solve for x
    x = 232,607,502,436/226,810
  6. Step 6: Final answer
    x = 1,025,561.05

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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.