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Finding the Third Proportional to 282,340.50 and 402,467.25

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Solution

The third proportional to 282,340.50 and 402,467.25 is: 573,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,340.50 : 402,467.25 = 402,467.25 : x
  2. Step 2: Convert to fraction form
    282,340.50/402,467.25 = 402,467.25/x
  3. Step 3: Cross multiply
    282,340.50x = 402,467.25 × 402,467.25
  4. Step 4: Simplify right side
    282,340.50x = 161,979,887,322.56
  5. Step 5: Solve for x
    x = 161,979,887,322.56/282,340.50
  6. Step 6: Final answer
    x = 573,704.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.