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Finding the Third Proportional to 404,260 and 606,337

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Solution

The third proportional to 404,260 and 606,337 is: 909,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,260 : 606,337 = 606,337 : x
  2. Step 2: Convert to fraction form
    404,260/606,337 = 606,337/x
  3. Step 3: Cross multiply
    404,260x = 606,337 × 606,337
  4. Step 4: Simplify right side
    404,260x = 367,644,557,569
  5. Step 5: Solve for x
    x = 367,644,557,569/404,260
  6. Step 6: Final answer
    x = 909,426.01

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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.