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Finding the Third Proportional to 343,304 and 502,668

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Solution

The third proportional to 343,304 and 502,668 is: 736,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,304 : 502,668 = 502,668 : x
  2. Step 2: Convert to fraction form
    343,304/502,668 = 502,668/x
  3. Step 3: Cross multiply
    343,304x = 502,668 × 502,668
  4. Step 4: Simplify right side
    343,304x = 252,675,118,224
  5. Step 5: Solve for x
    x = 252,675,118,224/343,304
  6. Step 6: Final answer
    x = 736,009.83

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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.