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Finding the Third Proportional to 281,577.94 and 583,116.19

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Solution

The third proportional to 281,577.94 and 583,116.19 is: 1,207,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,577.94 : 583,116.19 = 583,116.19 : x
  2. Step 2: Convert to fraction form
    281,577.94/583,116.19 = 583,116.19/x
  3. Step 3: Cross multiply
    281,577.94x = 583,116.19 × 583,116.19
  4. Step 4: Simplify right side
    281,577.94x = 340,024,488,124.54
  5. Step 5: Solve for x
    x = 340,024,488,124.54/281,577.94
  6. Step 6: Final answer
    x = 1,207,567.93

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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.