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Finding the Third Proportional to 202,211 and 437,585

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Solution

The third proportional to 202,211 and 437,585 is: 946,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,211 : 437,585 = 437,585 : x
  2. Step 2: Convert to fraction form
    202,211/437,585 = 437,585/x
  3. Step 3: Cross multiply
    202,211x = 437,585 × 437,585
  4. Step 4: Simplify right side
    202,211x = 191,480,632,225
  5. Step 5: Solve for x
    x = 191,480,632,225/202,211
  6. Step 6: Final answer
    x = 946,934.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.