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Finding the Third Proportional to 648,132 and 950,309

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Solution

The third proportional to 648,132 and 950,309 is: 1,393,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,132 : 950,309 = 950,309 : x
  2. Step 2: Convert to fraction form
    648,132/950,309 = 950,309/x
  3. Step 3: Cross multiply
    648,132x = 950,309 × 950,309
  4. Step 4: Simplify right side
    648,132x = 903,087,195,481
  5. Step 5: Solve for x
    x = 903,087,195,481/648,132
  6. Step 6: Final answer
    x = 1,393,369.24

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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.