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Finding the Third Proportional to 320,421 and 498,128

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Solution

The third proportional to 320,421 and 498,128 is: 774,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,421 : 498,128 = 498,128 : x
  2. Step 2: Convert to fraction form
    320,421/498,128 = 498,128/x
  3. Step 3: Cross multiply
    320,421x = 498,128 × 498,128
  4. Step 4: Simplify right side
    320,421x = 248,131,504,384
  5. Step 5: Solve for x
    x = 248,131,504,384/320,421
  6. Step 6: Final answer
    x = 774,392.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.