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Finding the Third Proportional to 348,806 and 753,364

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Solution

The third proportional to 348,806 and 753,364 is: 1,627,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,806 : 753,364 = 753,364 : x
  2. Step 2: Convert to fraction form
    348,806/753,364 = 753,364/x
  3. Step 3: Cross multiply
    348,806x = 753,364 × 753,364
  4. Step 4: Simplify right side
    348,806x = 567,557,316,496
  5. Step 5: Solve for x
    x = 567,557,316,496/348,806
  6. Step 6: Final answer
    x = 1,627,143.22

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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.