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Finding the Third Proportional to 282,582 and 614,250

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Solution

The third proportional to 282,582 and 614,250 is: 1,335,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,582 : 614,250 = 614,250 : x
  2. Step 2: Convert to fraction form
    282,582/614,250 = 614,250/x
  3. Step 3: Cross multiply
    282,582x = 614,250 × 614,250
  4. Step 4: Simplify right side
    282,582x = 377,303,062,500
  5. Step 5: Solve for x
    x = 377,303,062,500/282,582
  6. Step 6: Final answer
    x = 1,335,198.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.