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Finding the Third Proportional to 260,038 and 559,441

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Solution

The third proportional to 260,038 and 559,441 is: 1,203,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038 : 559,441 = 559,441 : x
  2. Step 2: Convert to fraction form
    260,038/559,441 = 559,441/x
  3. Step 3: Cross multiply
    260,038x = 559,441 × 559,441
  4. Step 4: Simplify right side
    260,038x = 312,974,232,481
  5. Step 5: Solve for x
    x = 312,974,232,481/260,038
  6. Step 6: Final answer
    x = 1,203,571.14

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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.