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Finding the Third Proportional to 282,785 and 609,848

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Solution

The third proportional to 282,785 and 609,848 is: 1,315,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,785 : 609,848 = 609,848 : x
  2. Step 2: Convert to fraction form
    282,785/609,848 = 609,848/x
  3. Step 3: Cross multiply
    282,785x = 609,848 × 609,848
  4. Step 4: Simplify right side
    282,785x = 371,914,583,104
  5. Step 5: Solve for x
    x = 371,914,583,104/282,785
  6. Step 6: Final answer
    x = 1,315,184.97

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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.