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Finding the Third Proportional to 492,800.34 and 720,491.34

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Solution

The third proportional to 492,800.34 and 720,491.34 is: 1,053,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,800.34 : 720,491.34 = 720,491.34 : x
  2. Step 2: Convert to fraction form
    492,800.34/720,491.34 = 720,491.34/x
  3. Step 3: Cross multiply
    492,800.34x = 720,491.34 × 720,491.34
  4. Step 4: Simplify right side
    492,800.34x = 519,107,776,418.68
  5. Step 5: Solve for x
    x = 519,107,776,418.68/492,800.34
  6. Step 6: Final answer
    x = 1,053,383.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.