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Finding the Third Proportional to 320,888 and 498,882

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Solution

The third proportional to 320,888 and 498,882 is: 775,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,888 : 498,882 = 498,882 : x
  2. Step 2: Convert to fraction form
    320,888/498,882 = 498,882/x
  3. Step 3: Cross multiply
    320,888x = 498,882 × 498,882
  4. Step 4: Simplify right side
    320,888x = 248,883,249,924
  5. Step 5: Solve for x
    x = 248,883,249,924/320,888
  6. Step 6: Final answer
    x = 775,607.84

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Why These Related Problems?

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