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Finding the Third Proportional to 404,258 and 606,336

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Solution

The third proportional to 404,258 and 606,336 is: 909,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,258 : 606,336 = 606,336 : x
  2. Step 2: Convert to fraction form
    404,258/606,336 = 606,336/x
  3. Step 3: Cross multiply
    404,258x = 606,336 × 606,336
  4. Step 4: Simplify right side
    404,258x = 367,643,344,896
  5. Step 5: Solve for x
    x = 367,643,344,896/404,258
  6. Step 6: Final answer
    x = 909,427.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.