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Finding the Third Proportional to 282,497.25 and 418,858.50

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Solution

The third proportional to 282,497.25 and 418,858.50 is: 621,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,497.25 : 418,858.50 = 418,858.50 : x
  2. Step 2: Convert to fraction form
    282,497.25/418,858.50 = 418,858.50/x
  3. Step 3: Cross multiply
    282,497.25x = 418,858.50 × 418,858.50
  4. Step 4: Simplify right side
    282,497.25x = 175,442,443,022.25
  5. Step 5: Solve for x
    x = 175,442,443,022.25/282,497.25
  6. Step 6: Final answer
    x = 621,041.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.