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Finding the Third Proportional to 403,220 and 593,150

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Solution

The third proportional to 403,220 and 593,150 is: 872,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,220 : 593,150 = 593,150 : x
  2. Step 2: Convert to fraction form
    403,220/593,150 = 593,150/x
  3. Step 3: Cross multiply
    403,220x = 593,150 × 593,150
  4. Step 4: Simplify right side
    403,220x = 351,826,922,500
  5. Step 5: Solve for x
    x = 351,826,922,500/403,220
  6. Step 6: Final answer
    x = 872,543.33

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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.