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Finding the Third Proportional to 343,284 and 717,957

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Solution

The third proportional to 343,284 and 717,957 is: 1,501,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,284 : 717,957 = 717,957 : x
  2. Step 2: Convert to fraction form
    343,284/717,957 = 717,957/x
  3. Step 3: Cross multiply
    343,284x = 717,957 × 717,957
  4. Step 4: Simplify right side
    343,284x = 515,462,253,849
  5. Step 5: Solve for x
    x = 515,462,253,849/343,284
  6. Step 6: Final answer
    x = 1,501,562.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.