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Finding the Third Proportional to 281,581 and 583,121

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Solution

The third proportional to 281,581 and 583,121 is: 1,207,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,581 : 583,121 = 583,121 : x
  2. Step 2: Convert to fraction form
    281,581/583,121 = 583,121/x
  3. Step 3: Cross multiply
    281,581x = 583,121 × 583,121
  4. Step 4: Simplify right side
    281,581x = 340,030,100,641
  5. Step 5: Solve for x
    x = 340,030,100,641/281,581
  6. Step 6: Final answer
    x = 1,207,574.73

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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.