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Finding the Third Proportional to 224,068 and 492,304

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Solution

The third proportional to 224,068 and 492,304 is: 1,081,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,068 : 492,304 = 492,304 : x
  2. Step 2: Convert to fraction form
    224,068/492,304 = 492,304/x
  3. Step 3: Cross multiply
    224,068x = 492,304 × 492,304
  4. Step 4: Simplify right side
    224,068x = 242,363,228,416
  5. Step 5: Solve for x
    x = 242,363,228,416/224,068
  6. Step 6: Final answer
    x = 1,081,650.34

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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.