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Finding the Third Proportional to 204,564 and 437,559

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Solution

The third proportional to 204,564 and 437,559 is: 935,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,564 : 437,559 = 437,559 : x
  2. Step 2: Convert to fraction form
    204,564/437,559 = 437,559/x
  3. Step 3: Cross multiply
    204,564x = 437,559 × 437,559
  4. Step 4: Simplify right side
    204,564x = 191,457,878,481
  5. Step 5: Solve for x
    x = 191,457,878,481/204,564
  6. Step 6: Final answer
    x = 935,931.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.