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Finding the Third Proportional to 256,726.13 and 547,813.13

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Solution

The third proportional to 256,726.13 and 547,813.13 is: 1,168,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,726.13 : 547,813.13 = 547,813.13 : x
  2. Step 2: Convert to fraction form
    256,726.13/547,813.13 = 547,813.13/x
  3. Step 3: Cross multiply
    256,726.13x = 547,813.13 × 547,813.13
  4. Step 4: Simplify right side
    256,726.13x = 300,099,219,922.27
  5. Step 5: Solve for x
    x = 300,099,219,922.27/256,726.13
  6. Step 6: Final answer
    x = 1,168,946.95

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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.