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Finding the Third Proportional to 224,046 and 492,264

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Solution

The third proportional to 224,046 and 492,264 is: 1,081,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,046 : 492,264 = 492,264 : x
  2. Step 2: Convert to fraction form
    224,046/492,264 = 492,264/x
  3. Step 3: Cross multiply
    224,046x = 492,264 × 492,264
  4. Step 4: Simplify right side
    224,046x = 242,323,845,696
  5. Step 5: Solve for x
    x = 242,323,845,696/224,046
  6. Step 6: Final answer
    x = 1,081,580.77

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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.