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Finding the Third Proportional to 282,403.50 and 550,617

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Solution

The third proportional to 282,403.50 and 550,617 is: 1,073,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,403.50 : 550,617 = 550,617 : x
  2. Step 2: Convert to fraction form
    282,403.50/550,617 = 550,617/x
  3. Step 3: Cross multiply
    282,403.50x = 550,617 × 550,617
  4. Step 4: Simplify right side
    282,403.50x = 303,179,080,689
  5. Step 5: Solve for x
    x = 303,179,080,689/282,403.50
  6. Step 6: Final answer
    x = 1,073,567.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.