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Finding the Third Proportional to 302,226 and 661,764

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Solution

The third proportional to 302,226 and 661,764 is: 1,449,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,226 : 661,764 = 661,764 : x
  2. Step 2: Convert to fraction form
    302,226/661,764 = 661,764/x
  3. Step 3: Cross multiply
    302,226x = 661,764 × 661,764
  4. Step 4: Simplify right side
    302,226x = 437,931,591,696
  5. Step 5: Solve for x
    x = 437,931,591,696/302,226
  6. Step 6: Final answer
    x = 1,449,020.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.