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Finding the Third Proportional to 207,310.50 and 558,463.50

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Solution

The third proportional to 207,310.50 and 558,463.50 is: 1,504,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,310.50 : 558,463.50 = 558,463.50 : x
  2. Step 2: Convert to fraction form
    207,310.50/558,463.50 = 558,463.50/x
  3. Step 3: Cross multiply
    207,310.50x = 558,463.50 × 558,463.50
  4. Step 4: Simplify right side
    207,310.50x = 311,881,480,832.25
  5. Step 5: Solve for x
    x = 311,881,480,832.25/207,310.50
  6. Step 6: Final answer
    x = 1,504,417.19

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.