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Finding the Third Proportional to 444,089 and 658,479

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Solution

The third proportional to 444,089 and 658,479 is: 976,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,089 : 658,479 = 658,479 : x
  2. Step 2: Convert to fraction form
    444,089/658,479 = 658,479/x
  3. Step 3: Cross multiply
    444,089x = 658,479 × 658,479
  4. Step 4: Simplify right side
    444,089x = 433,594,593,441
  5. Step 5: Solve for x
    x = 433,594,593,441/444,089
  6. Step 6: Final answer
    x = 976,368.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.