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Finding the Third Proportional to 338,356 and 736,984

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Solution

The third proportional to 338,356 and 736,984 is: 1,605,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,356 : 736,984 = 736,984 : x
  2. Step 2: Convert to fraction form
    338,356/736,984 = 736,984/x
  3. Step 3: Cross multiply
    338,356x = 736,984 × 736,984
  4. Step 4: Simplify right side
    338,356x = 543,145,416,256
  5. Step 5: Solve for x
    x = 543,145,416,256/338,356
  6. Step 6: Final answer
    x = 1,605,248.37

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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.