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Finding the Third Proportional to 281,590.13 and 583,140.56

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Solution

The third proportional to 281,590.13 and 583,140.56 is: 1,207,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,590.13 : 583,140.56 = 583,140.56 : x
  2. Step 2: Convert to fraction form
    281,590.13/583,140.56 = 583,140.56/x
  3. Step 3: Cross multiply
    281,590.13x = 583,140.56 × 583,140.56
  4. Step 4: Simplify right side
    281,590.13x = 340,052,915,632.82
  5. Step 5: Solve for x
    x = 340,052,915,632.82/281,590.13
  6. Step 6: Final answer
    x = 1,207,616.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.