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Finding the Third Proportional to 343,306 and 502,671

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Solution

The third proportional to 343,306 and 502,671 is: 736,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,306 : 502,671 = 502,671 : x
  2. Step 2: Convert to fraction form
    343,306/502,671 = 502,671/x
  3. Step 3: Cross multiply
    343,306x = 502,671 × 502,671
  4. Step 4: Simplify right side
    343,306x = 252,678,134,241
  5. Step 5: Solve for x
    x = 252,678,134,241/343,306
  6. Step 6: Final answer
    x = 736,014.33

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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.