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Finding the Third Proportional to 341,457.75 and 739,055.25

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Solution

The third proportional to 341,457.75 and 739,055.25 is: 1,599,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,457.75 : 739,055.25 = 739,055.25 : x
  2. Step 2: Convert to fraction form
    341,457.75/739,055.25 = 739,055.25/x
  3. Step 3: Cross multiply
    341,457.75x = 739,055.25 × 739,055.25
  4. Step 4: Simplify right side
    341,457.75x = 546,202,662,552.56
  5. Step 5: Solve for x
    x = 546,202,662,552.56/341,457.75
  6. Step 6: Final answer
    x = 1,599,620.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.