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Finding the Third Proportional to 247,081.50 and 515,605.50

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Solution

The third proportional to 247,081.50 and 515,605.50 is: 1,075,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,081.50 : 515,605.50 = 515,605.50 : x
  2. Step 2: Convert to fraction form
    247,081.50/515,605.50 = 515,605.50/x
  3. Step 3: Cross multiply
    247,081.50x = 515,605.50 × 515,605.50
  4. Step 4: Simplify right side
    247,081.50x = 265,849,031,630.25
  5. Step 5: Solve for x
    x = 265,849,031,630.25/247,081.50
  6. Step 6: Final answer
    x = 1,075,956.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.