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Finding the Third Proportional to 224,775 and 478,153.13

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Solution

The third proportional to 224,775 and 478,153.13 is: 1,017,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,775 : 478,153.13 = 478,153.13 : x
  2. Step 2: Convert to fraction form
    224,775/478,153.13 = 478,153.13/x
  3. Step 3: Cross multiply
    224,775x = 478,153.13 × 478,153.13
  4. Step 4: Simplify right side
    224,775x = 228,630,410,947.27
  5. Step 5: Solve for x
    x = 228,630,410,947.27/224,775
  6. Step 6: Final answer
    x = 1,017,152.31

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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.