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Finding the Third Proportional to 515,086 and 757,731

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Solution

The third proportional to 515,086 and 757,731 is: 1,114,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,086 : 757,731 = 757,731 : x
  2. Step 2: Convert to fraction form
    515,086/757,731 = 757,731/x
  3. Step 3: Cross multiply
    515,086x = 757,731 × 757,731
  4. Step 4: Simplify right side
    515,086x = 574,156,268,361
  5. Step 5: Solve for x
    x = 574,156,268,361/515,086
  6. Step 6: Final answer
    x = 1,114,680.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.