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Finding the Third Proportional to 496,360.13 and 698,977.13

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Solution

The third proportional to 496,360.13 and 698,977.13 is: 984,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,360.13 : 698,977.13 = 698,977.13 : x
  2. Step 2: Convert to fraction form
    496,360.13/698,977.13 = 698,977.13/x
  3. Step 3: Cross multiply
    496,360.13x = 698,977.13 × 698,977.13
  4. Step 4: Simplify right side
    496,360.13x = 488,569,021,273.27
  5. Step 5: Solve for x
    x = 488,569,021,273.27/496,360.13
  6. Step 6: Final answer
    x = 984,303.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.