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Finding the Third Proportional to 592,932 and 873,738

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Solution

The third proportional to 592,932 and 873,738 is: 1,287,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,932 : 873,738 = 873,738 : x
  2. Step 2: Convert to fraction form
    592,932/873,738 = 873,738/x
  3. Step 3: Cross multiply
    592,932x = 873,738 × 873,738
  4. Step 4: Simplify right side
    592,932x = 763,418,092,644
  5. Step 5: Solve for x
    x = 763,418,092,644/592,932
  6. Step 6: Final answer
    x = 1,287,530.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.