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Finding the Third Proportional to 260,793 and 390,217.50

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Solution

The third proportional to 260,793 and 390,217.50 is: 583,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,793 : 390,217.50 = 390,217.50 : x
  2. Step 2: Convert to fraction form
    260,793/390,217.50 = 390,217.50/x
  3. Step 3: Cross multiply
    260,793x = 390,217.50 × 390,217.50
  4. Step 4: Simplify right side
    260,793x = 152,269,697,306.25
  5. Step 5: Solve for x
    x = 152,269,697,306.25/260,793
  6. Step 6: Final answer
    x = 583,871.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.