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Finding the Third Proportional to 343,866 and 732,009

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Solution

The third proportional to 343,866 and 732,009 is: 1,558,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,866 : 732,009 = 732,009 : x
  2. Step 2: Convert to fraction form
    343,866/732,009 = 732,009/x
  3. Step 3: Cross multiply
    343,866x = 732,009 × 732,009
  4. Step 4: Simplify right side
    343,866x = 535,837,176,081
  5. Step 5: Solve for x
    x = 535,837,176,081/343,866
  6. Step 6: Final answer
    x = 1,558,273.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.