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Finding the Third Proportional to 219,364.50 and 478,878

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Solution

The third proportional to 219,364.50 and 478,878 is: 1,045,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,364.50 : 478,878 = 478,878 : x
  2. Step 2: Convert to fraction form
    219,364.50/478,878 = 478,878/x
  3. Step 3: Cross multiply
    219,364.50x = 478,878 × 478,878
  4. Step 4: Simplify right side
    219,364.50x = 229,324,138,884
  5. Step 5: Solve for x
    x = 229,324,138,884/219,364.50
  6. Step 6: Final answer
    x = 1,045,402.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.