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Finding the Third Proportional to 343,302 and 513,008

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Solution

The third proportional to 343,302 and 513,008 is: 766,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,302 : 513,008 = 513,008 : x
  2. Step 2: Convert to fraction form
    343,302/513,008 = 513,008/x
  3. Step 3: Cross multiply
    343,302x = 513,008 × 513,008
  4. Step 4: Simplify right side
    343,302x = 263,177,208,064
  5. Step 5: Solve for x
    x = 263,177,208,064/343,302
  6. Step 6: Final answer
    x = 766,605.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.