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Finding the Third Proportional to 348,383.25 and 509,132.25

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Solution

The third proportional to 348,383.25 and 509,132.25 is: 744,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,383.25 : 509,132.25 = 509,132.25 : x
  2. Step 2: Convert to fraction form
    348,383.25/509,132.25 = 509,132.25/x
  3. Step 3: Cross multiply
    348,383.25x = 509,132.25 × 509,132.25
  4. Step 4: Simplify right side
    348,383.25x = 259,215,647,990.06
  5. Step 5: Solve for x
    x = 259,215,647,990.06/348,383.25
  6. Step 6: Final answer
    x = 744,053.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.