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Finding the Third Proportional to 219,319 and 478,301

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Solution

The third proportional to 219,319 and 478,301 is: 1,043,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319 : 478,301 = 478,301 : x
  2. Step 2: Convert to fraction form
    219,319/478,301 = 478,301/x
  3. Step 3: Cross multiply
    219,319x = 478,301 × 478,301
  4. Step 4: Simplify right side
    219,319x = 228,771,846,601
  5. Step 5: Solve for x
    x = 228,771,846,601/219,319
  6. Step 6: Final answer
    x = 1,043,100.90

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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.