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Finding the Third Proportional to 523,989 and 811,589.63

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Solution

The third proportional to 523,989 and 811,589.63 is: 1,257,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,989 : 811,589.63 = 811,589.63 : x
  2. Step 2: Convert to fraction form
    523,989/811,589.63 = 811,589.63/x
  3. Step 3: Cross multiply
    523,989x = 811,589.63 × 811,589.63
  4. Step 4: Simplify right side
    523,989x = 658,677,719,407.64
  5. Step 5: Solve for x
    x = 658,677,719,407.64/523,989
  6. Step 6: Final answer
    x = 1,257,044.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.