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Finding the Third Proportional to 282,124.75 and 437,334.50

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Solution

The third proportional to 282,124.75 and 437,334.50 is: 677,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,124.75 : 437,334.50 = 437,334.50 : x
  2. Step 2: Convert to fraction form
    282,124.75/437,334.50 = 437,334.50/x
  3. Step 3: Cross multiply
    282,124.75x = 437,334.50 × 437,334.50
  4. Step 4: Simplify right side
    282,124.75x = 191,261,464,890.25
  5. Step 5: Solve for x
    x = 191,261,464,890.25/282,124.75
  6. Step 6: Final answer
    x = 677,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.