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Finding the Third Proportional to 212,547.38 and 449,087.63

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Solution

The third proportional to 212,547.38 and 449,087.63 is: 948,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,547.38 : 449,087.63 = 449,087.63 : x
  2. Step 2: Convert to fraction form
    212,547.38/449,087.63 = 449,087.63/x
  3. Step 3: Cross multiply
    212,547.38x = 449,087.63 × 449,087.63
  4. Step 4: Simplify right side
    212,547.38x = 201,679,694,928.14
  5. Step 5: Solve for x
    x = 201,679,694,928.14/212,547.38
  6. Step 6: Final answer
    x = 948,869.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.