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Finding the Third Proportional to 224,368 and 478,672

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Solution

The third proportional to 224,368 and 478,672 is: 1,021,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,368 : 478,672 = 478,672 : x
  2. Step 2: Convert to fraction form
    224,368/478,672 = 478,672/x
  3. Step 3: Cross multiply
    224,368x = 478,672 × 478,672
  4. Step 4: Simplify right side
    224,368x = 229,126,883,584
  5. Step 5: Solve for x
    x = 229,126,883,584/224,368
  6. Step 6: Final answer
    x = 1,021,210.17

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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.