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Finding the Third Proportional to 341,901 and 733,648.50

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Solution

The third proportional to 341,901 and 733,648.50 is: 1,574,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,901 : 733,648.50 = 733,648.50 : x
  2. Step 2: Convert to fraction form
    341,901/733,648.50 = 733,648.50/x
  3. Step 3: Cross multiply
    341,901x = 733,648.50 × 733,648.50
  4. Step 4: Simplify right side
    341,901x = 538,240,121,552.25
  5. Step 5: Solve for x
    x = 538,240,121,552.25/341,901
  6. Step 6: Final answer
    x = 1,574,257.23

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