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Finding the Third Proportional to 219,320 and 478,303

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Solution

The third proportional to 219,320 and 478,303 is: 1,043,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,320 : 478,303 = 478,303 : x
  2. Step 2: Convert to fraction form
    219,320/478,303 = 478,303/x
  3. Step 3: Cross multiply
    219,320x = 478,303 × 478,303
  4. Step 4: Simplify right side
    219,320x = 228,773,759,809
  5. Step 5: Solve for x
    x = 228,773,759,809/219,320
  6. Step 6: Final answer
    x = 1,043,104.87

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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.