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Finding the Third Proportional to 223,788 and 486,927

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Solution

The third proportional to 223,788 and 486,927 is: 1,059,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,788 : 486,927 = 486,927 : x
  2. Step 2: Convert to fraction form
    223,788/486,927 = 486,927/x
  3. Step 3: Cross multiply
    223,788x = 486,927 × 486,927
  4. Step 4: Simplify right side
    223,788x = 237,097,903,329
  5. Step 5: Solve for x
    x = 237,097,903,329/223,788
  6. Step 6: Final answer
    x = 1,059,475.50

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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.