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Finding the Third Proportional to 219,332 and 478,324

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Solution

The third proportional to 219,332 and 478,324 is: 1,043,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,332 : 478,324 = 478,324 : x
  2. Step 2: Convert to fraction form
    219,332/478,324 = 478,324/x
  3. Step 3: Cross multiply
    219,332x = 478,324 × 478,324
  4. Step 4: Simplify right side
    219,332x = 228,793,848,976
  5. Step 5: Solve for x
    x = 228,793,848,976/219,332
  6. Step 6: Final answer
    x = 1,043,139.39

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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.