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Finding the Third Proportional to 299,454.75 and 462,561.75

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Solution

The third proportional to 299,454.75 and 462,561.75 is: 714,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,454.75 : 462,561.75 = 462,561.75 : x
  2. Step 2: Convert to fraction form
    299,454.75/462,561.75 = 462,561.75/x
  3. Step 3: Cross multiply
    299,454.75x = 462,561.75 × 462,561.75
  4. Step 4: Simplify right side
    299,454.75x = 213,963,372,563.06
  5. Step 5: Solve for x
    x = 213,963,372,563.06/299,454.75
  6. Step 6: Final answer
    x = 714,509.86

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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.