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Finding the Third Proportional to 448,924 and 605,680

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Solution

The third proportional to 448,924 and 605,680 is: 817,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,924 : 605,680 = 605,680 : x
  2. Step 2: Convert to fraction form
    448,924/605,680 = 605,680/x
  3. Step 3: Cross multiply
    448,924x = 605,680 × 605,680
  4. Step 4: Simplify right side
    448,924x = 366,848,262,400
  5. Step 5: Solve for x
    x = 366,848,262,400/448,924
  6. Step 6: Final answer
    x = 817,172.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.