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Finding the Third Proportional to 301,360.50 and 633,753

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Solution

The third proportional to 301,360.50 and 633,753 is: 1,332,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,360.50 : 633,753 = 633,753 : x
  2. Step 2: Convert to fraction form
    301,360.50/633,753 = 633,753/x
  3. Step 3: Cross multiply
    301,360.50x = 633,753 × 633,753
  4. Step 4: Simplify right side
    301,360.50x = 401,642,865,009
  5. Step 5: Solve for x
    x = 401,642,865,009/301,360.50
  6. Step 6: Final answer
    x = 1,332,765.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.