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Finding the Third Proportional to 343,313 and 502,679

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Solution

The third proportional to 343,313 and 502,679 is: 736,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,313 : 502,679 = 502,679 : x
  2. Step 2: Convert to fraction form
    343,313/502,679 = 502,679/x
  3. Step 3: Cross multiply
    343,313x = 502,679 × 502,679
  4. Step 4: Simplify right side
    343,313x = 252,686,177,041
  5. Step 5: Solve for x
    x = 252,686,177,041/343,313
  6. Step 6: Final answer
    x = 736,022.75

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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.