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Finding the Third Proportional to 227,291.25 and 478,072.50

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Solution

The third proportional to 227,291.25 and 478,072.50 is: 1,005,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,291.25 : 478,072.50 = 478,072.50 : x
  2. Step 2: Convert to fraction form
    227,291.25/478,072.50 = 478,072.50/x
  3. Step 3: Cross multiply
    227,291.25x = 478,072.50 × 478,072.50
  4. Step 4: Simplify right side
    227,291.25x = 228,553,315,256.25
  5. Step 5: Solve for x
    x = 228,553,315,256.25/227,291.25
  6. Step 6: Final answer
    x = 1,005,552.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.