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Finding the Third Proportional to 302,571 and 658,369.50

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Solution

The third proportional to 302,571 and 658,369.50 is: 1,432,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,571 : 658,369.50 = 658,369.50 : x
  2. Step 2: Convert to fraction form
    302,571/658,369.50 = 658,369.50/x
  3. Step 3: Cross multiply
    302,571x = 658,369.50 × 658,369.50
  4. Step 4: Simplify right side
    302,571x = 433,450,398,530.25
  5. Step 5: Solve for x
    x = 433,450,398,530.25/302,571
  6. Step 6: Final answer
    x = 1,432,557.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.