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Finding the Third Proportional to 308,849 and 460,575

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Solution

The third proportional to 308,849 and 460,575 is: 686,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,849 : 460,575 = 460,575 : x
  2. Step 2: Convert to fraction form
    308,849/460,575 = 460,575/x
  3. Step 3: Cross multiply
    308,849x = 460,575 × 460,575
  4. Step 4: Simplify right side
    308,849x = 212,129,330,625
  5. Step 5: Solve for x
    x = 212,129,330,625/308,849
  6. Step 6: Final answer
    x = 686,838.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.