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Finding the Third Proportional to 302,637.75 and 456,225

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Solution

The third proportional to 302,637.75 and 456,225 is: 687,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,637.75 : 456,225 = 456,225 : x
  2. Step 2: Convert to fraction form
    302,637.75/456,225 = 456,225/x
  3. Step 3: Cross multiply
    302,637.75x = 456,225 × 456,225
  4. Step 4: Simplify right side
    302,637.75x = 208,141,250,625
  5. Step 5: Solve for x
    x = 208,141,250,625/302,637.75
  6. Step 6: Final answer
    x = 687,757.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.