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Finding the Third Proportional to 393,580 and 595,062

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Solution

The third proportional to 393,580 and 595,062 is: 899,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,580 : 595,062 = 595,062 : x
  2. Step 2: Convert to fraction form
    393,580/595,062 = 595,062/x
  3. Step 3: Cross multiply
    393,580x = 595,062 × 595,062
  4. Step 4: Simplify right side
    393,580x = 354,098,783,844
  5. Step 5: Solve for x
    x = 354,098,783,844/393,580
  6. Step 6: Final answer
    x = 899,686.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.