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Finding the Third Proportional to 281,604.75 and 583,159.88

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Solution

The third proportional to 281,604.75 and 583,159.88 is: 1,207,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,604.75 : 583,159.88 = 583,159.88 : x
  2. Step 2: Convert to fraction form
    281,604.75/583,159.88 = 583,159.88/x
  3. Step 3: Cross multiply
    281,604.75x = 583,159.88 × 583,159.88
  4. Step 4: Simplify right side
    281,604.75x = 340,075,439,810.02
  5. Step 5: Solve for x
    x = 340,075,439,810.02/281,604.75
  6. Step 6: Final answer
    x = 1,207,633.89

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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.