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Finding the Third Proportional to 302,652 and 424,157.25

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Solution

The third proportional to 302,652 and 424,157.25 is: 594,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,652 : 424,157.25 = 424,157.25 : x
  2. Step 2: Convert to fraction form
    302,652/424,157.25 = 424,157.25/x
  3. Step 3: Cross multiply
    302,652x = 424,157.25 × 424,157.25
  4. Step 4: Simplify right side
    302,652x = 179,909,372,727.56
  5. Step 5: Solve for x
    x = 179,909,372,727.56/302,652
  6. Step 6: Final answer
    x = 594,443.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.