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Finding the Third Proportional to 281,515.50 and 586,328.63

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Solution

The third proportional to 281,515.50 and 586,328.63 is: 1,221,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,515.50 : 586,328.63 = 586,328.63 : x
  2. Step 2: Convert to fraction form
    281,515.50/586,328.63 = 586,328.63/x
  3. Step 3: Cross multiply
    281,515.50x = 586,328.63 × 586,328.63
  4. Step 4: Simplify right side
    281,515.50x = 343,781,256,494.39
  5. Step 5: Solve for x
    x = 343,781,256,494.39/281,515.50
  6. Step 6: Final answer
    x = 1,221,180.56

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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.