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Finding the Third Proportional to 591,345 and 926,579.25

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Solution

The third proportional to 591,345 and 926,579.25 is: 1,451,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,345 : 926,579.25 = 926,579.25 : x
  2. Step 2: Convert to fraction form
    591,345/926,579.25 = 926,579.25/x
  3. Step 3: Cross multiply
    591,345x = 926,579.25 × 926,579.25
  4. Step 4: Simplify right side
    591,345x = 858,549,106,530.56
  5. Step 5: Solve for x
    x = 858,549,106,530.56/591,345
  6. Step 6: Final answer
    x = 1,451,858.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.