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Finding the Third Proportional to 405,617.63 and 587,513.25

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Solution

The third proportional to 405,617.63 and 587,513.25 is: 850,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,617.63 : 587,513.25 = 587,513.25 : x
  2. Step 2: Convert to fraction form
    405,617.63/587,513.25 = 587,513.25/x
  3. Step 3: Cross multiply
    405,617.63x = 587,513.25 × 587,513.25
  4. Step 4: Simplify right side
    405,617.63x = 345,171,818,925.56
  5. Step 5: Solve for x
    x = 345,171,818,925.56/405,617.63
  6. Step 6: Final answer
    x = 850,978.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.