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Finding the Third Proportional to 338,352 and 736,976

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Solution

The third proportional to 338,352 and 736,976 is: 1,605,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,352 : 736,976 = 736,976 : x
  2. Step 2: Convert to fraction form
    338,352/736,976 = 736,976/x
  3. Step 3: Cross multiply
    338,352x = 736,976 × 736,976
  4. Step 4: Simplify right side
    338,352x = 543,133,624,576
  5. Step 5: Solve for x
    x = 543,133,624,576/338,352
  6. Step 6: Final answer
    x = 1,605,232.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.