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Finding the Third Proportional to 345,768.75 and 533,989.13

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Solution

The third proportional to 345,768.75 and 533,989.13 is: 824,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,768.75 : 533,989.13 = 533,989.13 : x
  2. Step 2: Convert to fraction form
    345,768.75/533,989.13 = 533,989.13/x
  3. Step 3: Cross multiply
    345,768.75x = 533,989.13 × 533,989.13
  4. Step 4: Simplify right side
    345,768.75x = 285,144,385,618.27
  5. Step 5: Solve for x
    x = 285,144,385,618.27/345,768.75
  6. Step 6: Final answer
    x = 824,667.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.