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Finding the Third Proportional to 584,145.75 and 1,261,711.50

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Solution

The third proportional to 584,145.75 and 1,261,711.50 is: 2,725,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,145.75 : 1,261,711.50 = 1,261,711.50 : x
  2. Step 2: Convert to fraction form
    584,145.75/1,261,711.50 = 1,261,711.50/x
  3. Step 3: Cross multiply
    584,145.75x = 1,261,711.50 × 1,261,711.50
  4. Step 4: Simplify right side
    584,145.75x = 1,591,915,909,232.25
  5. Step 5: Solve for x
    x = 1,591,915,909,232.25/584,145.75
  6. Step 6: Final answer
    x = 2,725,203.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.