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Finding the Third Proportional to 302,850 and 658,728

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Solution

The third proportional to 302,850 and 658,728 is: 1,432,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,850 : 658,728 = 658,728 : x
  2. Step 2: Convert to fraction form
    302,850/658,728 = 658,728/x
  3. Step 3: Cross multiply
    302,850x = 658,728 × 658,728
  4. Step 4: Simplify right side
    302,850x = 433,922,577,984
  5. Step 5: Solve for x
    x = 433,922,577,984/302,850
  6. Step 6: Final answer
    x = 1,432,797.02

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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.