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Finding the Third Proportional to 590,972 and 886,275

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Solution

The third proportional to 590,972 and 886,275 is: 1,329,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,972 : 886,275 = 886,275 : x
  2. Step 2: Convert to fraction form
    590,972/886,275 = 886,275/x
  3. Step 3: Cross multiply
    590,972x = 886,275 × 886,275
  4. Step 4: Simplify right side
    590,972x = 785,483,375,625
  5. Step 5: Solve for x
    x = 785,483,375,625/590,972
  6. Step 6: Final answer
    x = 1,329,138.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.