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Finding the Third Proportional to 260,038.50 and 559,441.50

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Solution

The third proportional to 260,038.50 and 559,441.50 is: 1,203,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.50 : 559,441.50 = 559,441.50 : x
  2. Step 2: Convert to fraction form
    260,038.50/559,441.50 = 559,441.50/x
  3. Step 3: Cross multiply
    260,038.50x = 559,441.50 × 559,441.50
  4. Step 4: Simplify right side
    260,038.50x = 312,974,791,922.25
  5. Step 5: Solve for x
    x = 312,974,791,922.25/260,038.50
  6. Step 6: Final answer
    x = 1,203,570.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.