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Finding the Third Proportional to 281,598.75 and 586,495.13

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Solution

The third proportional to 281,598.75 and 586,495.13 is: 1,221,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,598.75 : 586,495.13 = 586,495.13 : x
  2. Step 2: Convert to fraction form
    281,598.75/586,495.13 = 586,495.13/x
  3. Step 3: Cross multiply
    281,598.75x = 586,495.13 × 586,495.13
  4. Step 4: Simplify right side
    281,598.75x = 343,976,531,648.77
  5. Step 5: Solve for x
    x = 343,976,531,648.77/281,598.75
  6. Step 6: Final answer
    x = 1,221,512.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.