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Finding the Third Proportional to 282,013 and 577,781

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Solution

The third proportional to 282,013 and 577,781 is: 1,183,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,013 : 577,781 = 577,781 : x
  2. Step 2: Convert to fraction form
    282,013/577,781 = 577,781/x
  3. Step 3: Cross multiply
    282,013x = 577,781 × 577,781
  4. Step 4: Simplify right side
    282,013x = 333,830,883,961
  5. Step 5: Solve for x
    x = 333,830,883,961/282,013
  6. Step 6: Final answer
    x = 1,183,742.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.