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Finding the Third Proportional to 550,246.50 and 820,293

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Solution

The third proportional to 550,246.50 and 820,293 is: 1,222,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,246.50 : 820,293 = 820,293 : x
  2. Step 2: Convert to fraction form
    550,246.50/820,293 = 820,293/x
  3. Step 3: Cross multiply
    550,246.50x = 820,293 × 820,293
  4. Step 4: Simplify right side
    550,246.50x = 672,880,605,849
  5. Step 5: Solve for x
    x = 672,880,605,849/550,246.50
  6. Step 6: Final answer
    x = 1,222,871.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.