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Finding the Third Proportional to 409,048 and 955,365

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Solution

The third proportional to 409,048 and 955,365 is: 2,231,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,048 : 955,365 = 955,365 : x
  2. Step 2: Convert to fraction form
    409,048/955,365 = 955,365/x
  3. Step 3: Cross multiply
    409,048x = 955,365 × 955,365
  4. Step 4: Simplify right side
    409,048x = 912,722,283,225
  5. Step 5: Solve for x
    x = 912,722,283,225/409,048
  6. Step 6: Final answer
    x = 2,231,332.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.