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Finding the Third Proportional to 592,704 and 846,962

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Solution

The third proportional to 592,704 and 846,962 is: 1,210,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,704 : 846,962 = 846,962 : x
  2. Step 2: Convert to fraction form
    592,704/846,962 = 846,962/x
  3. Step 3: Cross multiply
    592,704x = 846,962 × 846,962
  4. Step 4: Simplify right side
    592,704x = 717,344,629,444
  5. Step 5: Solve for x
    x = 717,344,629,444/592,704
  6. Step 6: Final answer
    x = 1,210,291.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.