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Finding the Third Proportional to 260,677.50 and 608,974.50

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Solution

The third proportional to 260,677.50 and 608,974.50 is: 1,422,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,677.50 : 608,974.50 = 608,974.50 : x
  2. Step 2: Convert to fraction form
    260,677.50/608,974.50 = 608,974.50/x
  3. Step 3: Cross multiply
    260,677.50x = 608,974.50 × 608,974.50
  4. Step 4: Simplify right side
    260,677.50x = 370,849,941,650.25
  5. Step 5: Solve for x
    x = 370,849,941,650.25/260,677.50
  6. Step 6: Final answer
    x = 1,422,638.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.