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Finding the Third Proportional to 226,448 and 492,264

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Solution

The third proportional to 226,448 and 492,264 is: 1,070,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,448 : 492,264 = 492,264 : x
  2. Step 2: Convert to fraction form
    226,448/492,264 = 492,264/x
  3. Step 3: Cross multiply
    226,448x = 492,264 × 492,264
  4. Step 4: Simplify right side
    226,448x = 242,323,845,696
  5. Step 5: Solve for x
    x = 242,323,845,696/226,448
  6. Step 6: Final answer
    x = 1,070,108.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.