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Finding the Third Proportional to 292,134 and 613,785

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Solution

The third proportional to 292,134 and 613,785 is: 1,289,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,134 : 613,785 = 613,785 : x
  2. Step 2: Convert to fraction form
    292,134/613,785 = 613,785/x
  3. Step 3: Cross multiply
    292,134x = 613,785 × 613,785
  4. Step 4: Simplify right side
    292,134x = 376,732,026,225
  5. Step 5: Solve for x
    x = 376,732,026,225/292,134
  6. Step 6: Final answer
    x = 1,289,586.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.