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Finding the Third Proportional to 338,840 and 736,036

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Solution

The third proportional to 338,840 and 736,036 is: 1,598,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,840 : 736,036 = 736,036 : x
  2. Step 2: Convert to fraction form
    338,840/736,036 = 736,036/x
  3. Step 3: Cross multiply
    338,840x = 736,036 × 736,036
  4. Step 4: Simplify right side
    338,840x = 541,748,993,296
  5. Step 5: Solve for x
    x = 541,748,993,296/338,840
  6. Step 6: Final answer
    x = 1,598,834.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.