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Finding the Third Proportional to 312,101 and 496,664

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Solution

The third proportional to 312,101 and 496,664 is: 790,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,101 : 496,664 = 496,664 : x
  2. Step 2: Convert to fraction form
    312,101/496,664 = 496,664/x
  3. Step 3: Cross multiply
    312,101x = 496,664 × 496,664
  4. Step 4: Simplify right side
    312,101x = 246,675,128,896
  5. Step 5: Solve for x
    x = 246,675,128,896/312,101
  6. Step 6: Final answer
    x = 790,369.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.