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Finding the Third Proportional to 204,558 and 437,547

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Solution

The third proportional to 204,558 and 437,547 is: 935,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,558 : 437,547 = 437,547 : x
  2. Step 2: Convert to fraction form
    204,558/437,547 = 437,547/x
  3. Step 3: Cross multiply
    204,558x = 437,547 × 437,547
  4. Step 4: Simplify right side
    204,558x = 191,447,377,209
  5. Step 5: Solve for x
    x = 191,447,377,209/204,558
  6. Step 6: Final answer
    x = 935,907.55

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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.