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Finding the Third Proportional to 219,316.50 and 478,296

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Solution

The third proportional to 219,316.50 and 478,296 is: 1,043,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316.50 : 478,296 = 478,296 : x
  2. Step 2: Convert to fraction form
    219,316.50/478,296 = 478,296/x
  3. Step 3: Cross multiply
    219,316.50x = 478,296 × 478,296
  4. Step 4: Simplify right side
    219,316.50x = 228,767,063,616
  5. Step 5: Solve for x
    x = 228,767,063,616/219,316.50
  6. Step 6: Final answer
    x = 1,043,090.98

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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.