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Finding the Third Proportional to 219,334.50 and 478,332

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Solution

The third proportional to 219,334.50 and 478,332 is: 1,043,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,334.50 : 478,332 = 478,332 : x
  2. Step 2: Convert to fraction form
    219,334.50/478,332 = 478,332/x
  3. Step 3: Cross multiply
    219,334.50x = 478,332 × 478,332
  4. Step 4: Simplify right side
    219,334.50x = 228,801,502,224
  5. Step 5: Solve for x
    x = 228,801,502,224/219,334.50
  6. Step 6: Final answer
    x = 1,043,162.39

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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.