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Finding the Third Proportional to 344,110 and 740,947

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Solution

The third proportional to 344,110 and 740,947 is: 1,595,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,110 : 740,947 = 740,947 : x
  2. Step 2: Convert to fraction form
    344,110/740,947 = 740,947/x
  3. Step 3: Cross multiply
    344,110x = 740,947 × 740,947
  4. Step 4: Simplify right side
    344,110x = 549,002,456,809
  5. Step 5: Solve for x
    x = 549,002,456,809/344,110
  6. Step 6: Final answer
    x = 1,595,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.