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Finding the Third Proportional to 252,796 and 380,798

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Solution

The third proportional to 252,796 and 380,798 is: 573,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,796 : 380,798 = 380,798 : x
  2. Step 2: Convert to fraction form
    252,796/380,798 = 380,798/x
  3. Step 3: Cross multiply
    252,796x = 380,798 × 380,798
  4. Step 4: Simplify right side
    252,796x = 145,007,116,804
  5. Step 5: Solve for x
    x = 145,007,116,804/252,796
  6. Step 6: Final answer
    x = 573,613.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.