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Finding the Third Proportional to 463,348 and 739,986

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Solution

The third proportional to 463,348 and 739,986 is: 1,181,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,348 : 739,986 = 739,986 : x
  2. Step 2: Convert to fraction form
    463,348/739,986 = 739,986/x
  3. Step 3: Cross multiply
    463,348x = 739,986 × 739,986
  4. Step 4: Simplify right side
    463,348x = 547,579,280,196
  5. Step 5: Solve for x
    x = 547,579,280,196/463,348
  6. Step 6: Final answer
    x = 1,181,788.38

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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.