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Finding the Third Proportional to 405,637 and 587,527

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Solution

The third proportional to 405,637 and 587,527 is: 850,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,637 : 587,527 = 587,527 : x
  2. Step 2: Convert to fraction form
    405,637/587,527 = 587,527/x
  3. Step 3: Cross multiply
    405,637x = 587,527 × 587,527
  4. Step 4: Simplify right side
    405,637x = 345,187,975,729
  5. Step 5: Solve for x
    x = 345,187,975,729/405,637
  6. Step 6: Final answer
    x = 850,977.54

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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.