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Finding the Third Proportional to 349,496.75 and 749,969.50

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Solution

The third proportional to 349,496.75 and 749,969.50 is: 1,609,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,496.75 : 749,969.50 = 749,969.50 : x
  2. Step 2: Convert to fraction form
    349,496.75/749,969.50 = 749,969.50/x
  3. Step 3: Cross multiply
    349,496.75x = 749,969.50 × 749,969.50
  4. Step 4: Simplify right side
    349,496.75x = 562,454,250,930.25
  5. Step 5: Solve for x
    x = 562,454,250,930.25/349,496.75
  6. Step 6: Final answer
    x = 1,609,326.13

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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.