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Finding the Third Proportional to 272,200.50 and 586,048.50

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Solution

The third proportional to 272,200.50 and 586,048.50 is: 1,261,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.50 : 586,048.50 = 586,048.50 : x
  2. Step 2: Convert to fraction form
    272,200.50/586,048.50 = 586,048.50/x
  3. Step 3: Cross multiply
    272,200.50x = 586,048.50 × 586,048.50
  4. Step 4: Simplify right side
    272,200.50x = 343,452,844,352.25
  5. Step 5: Solve for x
    x = 343,452,844,352.25/272,200.50
  6. Step 6: Final answer
    x = 1,261,764.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.