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Finding the Third Proportional to 601,589.25 and 899,343

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Solution

The third proportional to 601,589.25 and 899,343 is: 1,344,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,589.25 : 899,343 = 899,343 : x
  2. Step 2: Convert to fraction form
    601,589.25/899,343 = 899,343/x
  3. Step 3: Cross multiply
    601,589.25x = 899,343 × 899,343
  4. Step 4: Simplify right side
    601,589.25x = 808,817,831,649
  5. Step 5: Solve for x
    x = 808,817,831,649/601,589.25
  6. Step 6: Final answer
    x = 1,344,468.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.