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Finding the Third Proportional to 444,768 and 655,388

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Solution

The third proportional to 444,768 and 655,388 is: 965,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,768 : 655,388 = 655,388 : x
  2. Step 2: Convert to fraction form
    444,768/655,388 = 655,388/x
  3. Step 3: Cross multiply
    444,768x = 655,388 × 655,388
  4. Step 4: Simplify right side
    444,768x = 429,533,430,544
  5. Step 5: Solve for x
    x = 429,533,430,544/444,768
  6. Step 6: Final answer
    x = 965,747.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.