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Finding the Third Proportional to 226,347 and 488,265

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Solution

The third proportional to 226,347 and 488,265 is: 1,053,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,347 : 488,265 = 488,265 : x
  2. Step 2: Convert to fraction form
    226,347/488,265 = 488,265/x
  3. Step 3: Cross multiply
    226,347x = 488,265 × 488,265
  4. Step 4: Simplify right side
    226,347x = 238,402,710,225
  5. Step 5: Solve for x
    x = 238,402,710,225/226,347
  6. Step 6: Final answer
    x = 1,053,262.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.