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Finding the Third Proportional to 338,887 and 733,563

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Solution

The third proportional to 338,887 and 733,563 is: 1,587,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,887 : 733,563 = 733,563 : x
  2. Step 2: Convert to fraction form
    338,887/733,563 = 733,563/x
  3. Step 3: Cross multiply
    338,887x = 733,563 × 733,563
  4. Step 4: Simplify right side
    338,887x = 538,114,674,969
  5. Step 5: Solve for x
    x = 538,114,674,969/338,887
  6. Step 6: Final answer
    x = 1,587,888.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.