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Finding the Third Proportional to 281,603.25 and 586,504.50

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Solution

The third proportional to 281,603.25 and 586,504.50 is: 1,221,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,603.25 : 586,504.50 = 586,504.50 : x
  2. Step 2: Convert to fraction form
    281,603.25/586,504.50 = 586,504.50/x
  3. Step 3: Cross multiply
    281,603.25x = 586,504.50 × 586,504.50
  4. Step 4: Simplify right side
    281,603.25x = 343,987,528,520.25
  5. Step 5: Solve for x
    x = 343,987,528,520.25/281,603.25
  6. Step 6: Final answer
    x = 1,221,532.52

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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.