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Finding the Third Proportional to 343,828.50 and 731,943

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Solution

The third proportional to 343,828.50 and 731,943 is: 1,558,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,828.50 : 731,943 = 731,943 : x
  2. Step 2: Convert to fraction form
    343,828.50/731,943 = 731,943/x
  3. Step 3: Cross multiply
    343,828.50x = 731,943 × 731,943
  4. Step 4: Simplify right side
    343,828.50x = 535,740,555,249
  5. Step 5: Solve for x
    x = 535,740,555,249/343,828.50
  6. Step 6: Final answer
    x = 1,558,162.15

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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.