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Finding the Third Proportional to 457,561.41 and 695,671.03

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Solution

The third proportional to 457,561.41 and 695,671.03 is: 1,057,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,561.41 : 695,671.03 = 695,671.03 : x
  2. Step 2: Convert to fraction form
    457,561.41/695,671.03 = 695,671.03/x
  3. Step 3: Cross multiply
    457,561.41x = 695,671.03 × 695,671.03
  4. Step 4: Simplify right side
    457,561.41x = 483,958,183,720.44
  5. Step 5: Solve for x
    x = 483,958,183,720.44/457,561.41
  6. Step 6: Final answer
    x = 1,057,690.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.