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Finding the Third Proportional to 369,415.13 and 797,771.25

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Solution

The third proportional to 369,415.13 and 797,771.25 is: 1,722,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,415.13 : 797,771.25 = 797,771.25 : x
  2. Step 2: Convert to fraction form
    369,415.13/797,771.25 = 797,771.25/x
  3. Step 3: Cross multiply
    369,415.13x = 797,771.25 × 797,771.25
  4. Step 4: Simplify right side
    369,415.13x = 636,438,967,326.56
  5. Step 5: Solve for x
    x = 636,438,967,326.56/369,415.13
  6. Step 6: Final answer
    x = 1,722,828.67

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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.