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Finding the Third Proportional to 348,042 and 741,606

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Solution

The third proportional to 348,042 and 741,606 is: 1,580,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,042 : 741,606 = 741,606 : x
  2. Step 2: Convert to fraction form
    348,042/741,606 = 741,606/x
  3. Step 3: Cross multiply
    348,042x = 741,606 × 741,606
  4. Step 4: Simplify right side
    348,042x = 549,979,459,236
  5. Step 5: Solve for x
    x = 549,979,459,236/348,042
  6. Step 6: Final answer
    x = 1,580,210.03

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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.