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Finding the Third Proportional to 233,952.75 and 478,971

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Solution

The third proportional to 233,952.75 and 478,971 is: 980,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,952.75 : 478,971 = 478,971 : x
  2. Step 2: Convert to fraction form
    233,952.75/478,971 = 478,971/x
  3. Step 3: Cross multiply
    233,952.75x = 478,971 × 478,971
  4. Step 4: Simplify right side
    233,952.75x = 229,413,218,841
  5. Step 5: Solve for x
    x = 229,413,218,841/233,952.75
  6. Step 6: Final answer
    x = 980,596.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.