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Finding the Third Proportional to 338,943 and 736,908

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Solution

The third proportional to 338,943 and 736,908 is: 1,602,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,943 : 736,908 = 736,908 : x
  2. Step 2: Convert to fraction form
    338,943/736,908 = 736,908/x
  3. Step 3: Cross multiply
    338,943x = 736,908 × 736,908
  4. Step 4: Simplify right side
    338,943x = 543,033,400,464
  5. Step 5: Solve for x
    x = 543,033,400,464/338,943
  6. Step 6: Final answer
    x = 1,602,137.82

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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.