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Finding the Third Proportional to 224,764 and 511,887

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Solution

The third proportional to 224,764 and 511,887 is: 1,165,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,764 : 511,887 = 511,887 : x
  2. Step 2: Convert to fraction form
    224,764/511,887 = 511,887/x
  3. Step 3: Cross multiply
    224,764x = 511,887 × 511,887
  4. Step 4: Simplify right side
    224,764x = 262,028,300,769
  5. Step 5: Solve for x
    x = 262,028,300,769/224,764
  6. Step 6: Final answer
    x = 1,165,793.01

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.