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Finding the Third Proportional to 344,427.75 and 755,437.50

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Solution

The third proportional to 344,427.75 and 755,437.50 is: 1,656,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,427.75 : 755,437.50 = 755,437.50 : x
  2. Step 2: Convert to fraction form
    344,427.75/755,437.50 = 755,437.50/x
  3. Step 3: Cross multiply
    344,427.75x = 755,437.50 × 755,437.50
  4. Step 4: Simplify right side
    344,427.75x = 570,685,816,406.25
  5. Step 5: Solve for x
    x = 570,685,816,406.25/344,427.75
  6. Step 6: Final answer
    x = 1,656,910.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.