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Finding the Third Proportional to 320,266 and 498,544

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Solution

The third proportional to 320,266 and 498,544 is: 776,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,266 : 498,544 = 498,544 : x
  2. Step 2: Convert to fraction form
    320,266/498,544 = 498,544/x
  3. Step 3: Cross multiply
    320,266x = 498,544 × 498,544
  4. Step 4: Simplify right side
    320,266x = 248,546,119,936
  5. Step 5: Solve for x
    x = 248,546,119,936/320,266
  6. Step 6: Final answer
    x = 776,061.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.