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Finding the Third Proportional to 298,256.50 and 631,057.75

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Solution

The third proportional to 298,256.50 and 631,057.75 is: 1,335,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,256.50 : 631,057.75 = 631,057.75 : x
  2. Step 2: Convert to fraction form
    298,256.50/631,057.75 = 631,057.75/x
  3. Step 3: Cross multiply
    298,256.50x = 631,057.75 × 631,057.75
  4. Step 4: Simplify right side
    298,256.50x = 398,233,883,835.06
  5. Step 5: Solve for x
    x = 398,233,883,835.06/298,256.50
  6. Step 6: Final answer
    x = 1,335,206.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.