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Finding the Third Proportional to 360,633 and 530,743

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Solution

The third proportional to 360,633 and 530,743 is: 781,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,633 : 530,743 = 530,743 : x
  2. Step 2: Convert to fraction form
    360,633/530,743 = 530,743/x
  3. Step 3: Cross multiply
    360,633x = 530,743 × 530,743
  4. Step 4: Simplify right side
    360,633x = 281,688,132,049
  5. Step 5: Solve for x
    x = 281,688,132,049/360,633
  6. Step 6: Final answer
    x = 781,093.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.