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Finding the Third Proportional to 262,617.75 and 384,610.50

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Solution

The third proportional to 262,617.75 and 384,610.50 is: 563,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,617.75 : 384,610.50 = 384,610.50 : x
  2. Step 2: Convert to fraction form
    262,617.75/384,610.50 = 384,610.50/x
  3. Step 3: Cross multiply
    262,617.75x = 384,610.50 × 384,610.50
  4. Step 4: Simplify right side
    262,617.75x = 147,925,236,710.25
  5. Step 5: Solve for x
    x = 147,925,236,710.25/262,617.75
  6. Step 6: Final answer
    x = 563,272.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.