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Finding the Third Proportional to 219,186 and 478,953

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Solution

The third proportional to 219,186 and 478,953 is: 1,046,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,186 : 478,953 = 478,953 : x
  2. Step 2: Convert to fraction form
    219,186/478,953 = 478,953/x
  3. Step 3: Cross multiply
    219,186x = 478,953 × 478,953
  4. Step 4: Simplify right side
    219,186x = 229,395,976,209
  5. Step 5: Solve for x
    x = 229,395,976,209/219,186
  6. Step 6: Final answer
    x = 1,046,581.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.