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Finding the Third Proportional to 228,853.13 and 478,618.88

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Solution

The third proportional to 228,853.13 and 478,618.88 is: 1,000,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,853.13 : 478,618.88 = 478,618.88 : x
  2. Step 2: Convert to fraction form
    228,853.13/478,618.88 = 478,618.88/x
  3. Step 3: Cross multiply
    228,853.13x = 478,618.88 × 478,618.88
  4. Step 4: Simplify right side
    228,853.13x = 229,076,027,506.27
  5. Step 5: Solve for x
    x = 229,076,027,506.27/228,853.13
  6. Step 6: Final answer
    x = 1,000,974.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.