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Finding the Third Proportional to 386,340 and 590,996

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Solution

The third proportional to 386,340 and 590,996 is: 904,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,340 : 590,996 = 590,996 : x
  2. Step 2: Convert to fraction form
    386,340/590,996 = 590,996/x
  3. Step 3: Cross multiply
    386,340x = 590,996 × 590,996
  4. Step 4: Simplify right side
    386,340x = 349,276,272,016
  5. Step 5: Solve for x
    x = 349,276,272,016/386,340
  6. Step 6: Final answer
    x = 904,064.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.