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Finding the Third Proportional to 271,461.38 and 578,974.08

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Solution

The third proportional to 271,461.38 and 578,974.08 is: 1,234,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,461.38 : 578,974.08 = 578,974.08 : x
  2. Step 2: Convert to fraction form
    271,461.38/578,974.08 = 578,974.08/x
  3. Step 3: Cross multiply
    271,461.38x = 578,974.08 × 578,974.08
  4. Step 4: Simplify right side
    271,461.38x = 335,210,983,140.69
  5. Step 5: Solve for x
    x = 335,210,983,140.69/271,461.38
  6. Step 6: Final answer
    x = 1,234,838.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.