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Finding the Third Proportional to 349,713 and 627,468

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Solution

The third proportional to 349,713 and 627,468 is: 1,125,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,713 : 627,468 = 627,468 : x
  2. Step 2: Convert to fraction form
    349,713/627,468 = 627,468/x
  3. Step 3: Cross multiply
    349,713x = 627,468 × 627,468
  4. Step 4: Simplify right side
    349,713x = 393,716,091,024
  5. Step 5: Solve for x
    x = 393,716,091,024/349,713
  6. Step 6: Final answer
    x = 1,125,826.29

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.