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Finding the Third Proportional to 505,146 and 799,731

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Solution

The third proportional to 505,146 and 799,731 is: 1,266,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,146 : 799,731 = 799,731 : x
  2. Step 2: Convert to fraction form
    505,146/799,731 = 799,731/x
  3. Step 3: Cross multiply
    505,146x = 799,731 × 799,731
  4. Step 4: Simplify right side
    505,146x = 639,569,672,361
  5. Step 5: Solve for x
    x = 639,569,672,361/505,146
  6. Step 6: Final answer
    x = 1,266,108.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.