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Finding the Third Proportional to 261,875 and 558,094

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Solution

The third proportional to 261,875 and 558,094 is: 1,189,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,875 : 558,094 = 558,094 : x
  2. Step 2: Convert to fraction form
    261,875/558,094 = 558,094/x
  3. Step 3: Cross multiply
    261,875x = 558,094 × 558,094
  4. Step 4: Simplify right side
    261,875x = 311,468,912,836
  5. Step 5: Solve for x
    x = 311,468,912,836/261,875
  6. Step 6: Final answer
    x = 1,189,380.10

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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.