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Finding the Third Proportional to 367,842.50 and 821,798

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Solution

The third proportional to 367,842.50 and 821,798 is: 1,835,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,842.50 : 821,798 = 821,798 : x
  2. Step 2: Convert to fraction form
    367,842.50/821,798 = 821,798/x
  3. Step 3: Cross multiply
    367,842.50x = 821,798 × 821,798
  4. Step 4: Simplify right side
    367,842.50x = 675,351,952,804
  5. Step 5: Solve for x
    x = 675,351,952,804/367,842.50
  6. Step 6: Final answer
    x = 1,835,981.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.