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Finding the Third Proportional to 226,702.13 and 478,008

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Solution

The third proportional to 226,702.13 and 478,008 is: 1,007,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,702.13 : 478,008 = 478,008 : x
  2. Step 2: Convert to fraction form
    226,702.13/478,008 = 478,008/x
  3. Step 3: Cross multiply
    226,702.13x = 478,008 × 478,008
  4. Step 4: Simplify right side
    226,702.13x = 228,491,648,064
  5. Step 5: Solve for x
    x = 228,491,648,064/226,702.13
  6. Step 6: Final answer
    x = 1,007,893.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.