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Finding the Third Proportional to 281,538 and 586,296

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Solution

The third proportional to 281,538 and 586,296 is: 1,220,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,538 : 586,296 = 586,296 : x
  2. Step 2: Convert to fraction form
    281,538/586,296 = 586,296/x
  3. Step 3: Cross multiply
    281,538x = 586,296 × 586,296
  4. Step 4: Simplify right side
    281,538x = 343,742,999,616
  5. Step 5: Solve for x
    x = 343,742,999,616/281,538
  6. Step 6: Final answer
    x = 1,220,947.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.