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Finding the Third Proportional to 366,334 and 781,054

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Solution

The third proportional to 366,334 and 781,054 is: 1,665,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,334 : 781,054 = 781,054 : x
  2. Step 2: Convert to fraction form
    366,334/781,054 = 781,054/x
  3. Step 3: Cross multiply
    366,334x = 781,054 × 781,054
  4. Step 4: Simplify right side
    366,334x = 610,045,350,916
  5. Step 5: Solve for x
    x = 610,045,350,916/366,334
  6. Step 6: Final answer
    x = 1,665,270.90

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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.