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Finding the Third Proportional to 240,900.75 and 529,470

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Solution

The third proportional to 240,900.75 and 529,470 is: 1,163,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,900.75 : 529,470 = 529,470 : x
  2. Step 2: Convert to fraction form
    240,900.75/529,470 = 529,470/x
  3. Step 3: Cross multiply
    240,900.75x = 529,470 × 529,470
  4. Step 4: Simplify right side
    240,900.75x = 280,338,480,900
  5. Step 5: Solve for x
    x = 280,338,480,900/240,900.75
  6. Step 6: Final answer
    x = 1,163,709.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.