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Finding the Third Proportional to 366,947 and 607,311

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Solution

The third proportional to 366,947 and 607,311 is: 1,005,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 607,311 = 607,311 : x
  2. Step 2: Convert to fraction form
    366,947/607,311 = 607,311/x
  3. Step 3: Cross multiply
    366,947x = 607,311 × 607,311
  4. Step 4: Simplify right side
    366,947x = 368,826,650,721
  5. Step 5: Solve for x
    x = 368,826,650,721/366,947
  6. Step 6: Final answer
    x = 1,005,122.40

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.