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Finding the Third Proportional to 343,310 and 502,675

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Solution

The third proportional to 343,310 and 502,675 is: 736,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,310 : 502,675 = 502,675 : x
  2. Step 2: Convert to fraction form
    343,310/502,675 = 502,675/x
  3. Step 3: Cross multiply
    343,310x = 502,675 × 502,675
  4. Step 4: Simplify right side
    343,310x = 252,682,155,625
  5. Step 5: Solve for x
    x = 252,682,155,625/343,310
  6. Step 6: Final answer
    x = 736,017.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.