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Finding the Third Proportional to 348,627 and 736,422

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Solution

The third proportional to 348,627 and 736,422 is: 1,555,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,627 : 736,422 = 736,422 : x
  2. Step 2: Convert to fraction form
    348,627/736,422 = 736,422/x
  3. Step 3: Cross multiply
    348,627x = 736,422 × 736,422
  4. Step 4: Simplify right side
    348,627x = 542,317,362,084
  5. Step 5: Solve for x
    x = 542,317,362,084/348,627
  6. Step 6: Final answer
    x = 1,555,580.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.