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Finding the Third Proportional to 233,959.50 and 478,981.13

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Solution

The third proportional to 233,959.50 and 478,981.13 is: 980,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,959.50 : 478,981.13 = 478,981.13 : x
  2. Step 2: Convert to fraction form
    233,959.50/478,981.13 = 478,981.13/x
  3. Step 3: Cross multiply
    233,959.50x = 478,981.13 × 478,981.13
  4. Step 4: Simplify right side
    233,959.50x = 229,422,918,106.27
  5. Step 5: Solve for x
    x = 229,422,918,106.27/233,959.50
  6. Step 6: Final answer
    x = 980,609.54

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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.