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Finding the Third Proportional to 341,016.75 and 509,419.13

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Solution

The third proportional to 341,016.75 and 509,419.13 is: 760,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,016.75 : 509,419.13 = 509,419.13 : x
  2. Step 2: Convert to fraction form
    341,016.75/509,419.13 = 509,419.13/x
  3. Step 3: Cross multiply
    341,016.75x = 509,419.13 × 509,419.13
  4. Step 4: Simplify right side
    341,016.75x = 259,507,844,915.77
  5. Step 5: Solve for x
    x = 259,507,844,915.77/341,016.75
  6. Step 6: Final answer
    x = 760,982.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.