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Finding the Third Proportional to 506,108 and 757,758

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Solution

The third proportional to 506,108 and 757,758 is: 1,134,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,108 : 757,758 = 757,758 : x
  2. Step 2: Convert to fraction form
    506,108/757,758 = 757,758/x
  3. Step 3: Cross multiply
    506,108x = 757,758 × 757,758
  4. Step 4: Simplify right side
    506,108x = 574,197,186,564
  5. Step 5: Solve for x
    x = 574,197,186,564/506,108
  6. Step 6: Final answer
    x = 1,134,534.89

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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.