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Finding the Third Proportional to 282,091.50 and 587,511

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Solution

The third proportional to 282,091.50 and 587,511 is: 1,223,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,091.50 : 587,511 = 587,511 : x
  2. Step 2: Convert to fraction form
    282,091.50/587,511 = 587,511/x
  3. Step 3: Cross multiply
    282,091.50x = 587,511 × 587,511
  4. Step 4: Simplify right side
    282,091.50x = 345,169,175,121
  5. Step 5: Solve for x
    x = 345,169,175,121/282,091.50
  6. Step 6: Final answer
    x = 1,223,607.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.