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Finding the Third Proportional to 278,272 and 601,920

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Solution

The third proportional to 278,272 and 601,920 is: 1,301,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,272 : 601,920 = 601,920 : x
  2. Step 2: Convert to fraction form
    278,272/601,920 = 601,920/x
  3. Step 3: Cross multiply
    278,272x = 601,920 × 601,920
  4. Step 4: Simplify right side
    278,272x = 362,307,686,400
  5. Step 5: Solve for x
    x = 362,307,686,400/278,272
  6. Step 6: Final answer
    x = 1,301,991.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.