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Finding the Third Proportional to 281,886 and 593,283

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Solution

The third proportional to 281,886 and 593,283 is: 1,248,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,886 : 593,283 = 593,283 : x
  2. Step 2: Convert to fraction form
    281,886/593,283 = 593,283/x
  3. Step 3: Cross multiply
    281,886x = 593,283 × 593,283
  4. Step 4: Simplify right side
    281,886x = 351,984,718,089
  5. Step 5: Solve for x
    x = 351,984,718,089/281,886
  6. Step 6: Final answer
    x = 1,248,677.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.