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Finding the Third Proportional to 463,345 and 739,981

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Solution

The third proportional to 463,345 and 739,981 is: 1,181,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,345 : 739,981 = 739,981 : x
  2. Step 2: Convert to fraction form
    463,345/739,981 = 739,981/x
  3. Step 3: Cross multiply
    463,345x = 739,981 × 739,981
  4. Step 4: Simplify right side
    463,345x = 547,571,880,361
  5. Step 5: Solve for x
    x = 547,571,880,361/463,345
  6. Step 6: Final answer
    x = 1,181,780.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.