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Finding the Third Proportional to 343,266 and 535,806

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Solution

The third proportional to 343,266 and 535,806 is: 836,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,266 : 535,806 = 535,806 : x
  2. Step 2: Convert to fraction form
    343,266/535,806 = 535,806/x
  3. Step 3: Cross multiply
    343,266x = 535,806 × 535,806
  4. Step 4: Simplify right side
    343,266x = 287,088,069,636
  5. Step 5: Solve for x
    x = 287,088,069,636/343,266
  6. Step 6: Final answer
    x = 836,342.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.