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Finding the Third Proportional to 449,151.75 and 692,317.13

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Solution

The third proportional to 449,151.75 and 692,317.13 is: 1,067,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,151.75 : 692,317.13 = 692,317.13 : x
  2. Step 2: Convert to fraction form
    449,151.75/692,317.13 = 692,317.13/x
  3. Step 3: Cross multiply
    449,151.75x = 692,317.13 × 692,317.13
  4. Step 4: Simplify right side
    449,151.75x = 479,303,001,568.27
  5. Step 5: Solve for x
    x = 479,303,001,568.27/449,151.75
  6. Step 6: Final answer
    x = 1,067,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.