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Finding the Third Proportional to 282,761 and 614,608

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Solution

The third proportional to 282,761 and 614,608 is: 1,335,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,761 : 614,608 = 614,608 : x
  2. Step 2: Convert to fraction form
    282,761/614,608 = 614,608/x
  3. Step 3: Cross multiply
    282,761x = 614,608 × 614,608
  4. Step 4: Simplify right side
    282,761x = 377,742,993,664
  5. Step 5: Solve for x
    x = 377,742,993,664/282,761
  6. Step 6: Final answer
    x = 1,335,909.10

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Why These Related Problems?

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