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Finding the Third Proportional to 404,918 and 604,089

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Solution

The third proportional to 404,918 and 604,089 is: 901,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,918 : 604,089 = 604,089 : x
  2. Step 2: Convert to fraction form
    404,918/604,089 = 604,089/x
  3. Step 3: Cross multiply
    404,918x = 604,089 × 604,089
  4. Step 4: Simplify right side
    404,918x = 364,923,519,921
  5. Step 5: Solve for x
    x = 364,923,519,921/404,918
  6. Step 6: Final answer
    x = 901,228.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.