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Finding the Third Proportional to 282,797.50 and 609,873.50

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Solution

The third proportional to 282,797.50 and 609,873.50 is: 1,315,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,797.50 : 609,873.50 = 609,873.50 : x
  2. Step 2: Convert to fraction form
    282,797.50/609,873.50 = 609,873.50/x
  3. Step 3: Cross multiply
    282,797.50x = 609,873.50 × 609,873.50
  4. Step 4: Simplify right side
    282,797.50x = 371,945,686,002.25
  5. Step 5: Solve for x
    x = 371,945,686,002.25/282,797.50
  6. Step 6: Final answer
    x = 1,315,236.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.