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Finding the Third Proportional to 348,102 and 741,726

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Solution

The third proportional to 348,102 and 741,726 is: 1,580,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,102 : 741,726 = 741,726 : x
  2. Step 2: Convert to fraction form
    348,102/741,726 = 741,726/x
  3. Step 3: Cross multiply
    348,102x = 741,726 × 741,726
  4. Step 4: Simplify right side
    348,102x = 550,157,459,076
  5. Step 5: Solve for x
    x = 550,157,459,076/348,102
  6. Step 6: Final answer
    x = 1,580,449.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.