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Finding the Third Proportional to 349,947 and 735,135.75

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Solution

The third proportional to 349,947 and 735,135.75 is: 1,544,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,947 : 735,135.75 = 735,135.75 : x
  2. Step 2: Convert to fraction form
    349,947/735,135.75 = 735,135.75/x
  3. Step 3: Cross multiply
    349,947x = 735,135.75 × 735,135.75
  4. Step 4: Simplify right side
    349,947x = 540,424,570,928.06
  5. Step 5: Solve for x
    x = 540,424,570,928.06/349,947
  6. Step 6: Final answer
    x = 1,544,304.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.