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Finding the Third Proportional to 444,087 and 658,476

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Solution

The third proportional to 444,087 and 658,476 is: 976,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,087 : 658,476 = 658,476 : x
  2. Step 2: Convert to fraction form
    444,087/658,476 = 658,476/x
  3. Step 3: Cross multiply
    444,087x = 658,476 × 658,476
  4. Step 4: Simplify right side
    444,087x = 433,590,642,576
  5. Step 5: Solve for x
    x = 433,590,642,576/444,087
  6. Step 6: Final answer
    x = 976,364.19

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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.