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Finding the Third Proportional to 506,112 and 757,764

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Solution

The third proportional to 506,112 and 757,764 is: 1,134,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,112 : 757,764 = 757,764 : x
  2. Step 2: Convert to fraction form
    506,112/757,764 = 757,764/x
  3. Step 3: Cross multiply
    506,112x = 757,764 × 757,764
  4. Step 4: Simplify right side
    506,112x = 574,206,279,696
  5. Step 5: Solve for x
    x = 574,206,279,696/506,112
  6. Step 6: Final answer
    x = 1,134,543.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.