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Finding the Third Proportional to 366,947 and 554,117

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Solution

The third proportional to 366,947 and 554,117 is: 836,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 554,117 = 554,117 : x
  2. Step 2: Convert to fraction form
    366,947/554,117 = 554,117/x
  3. Step 3: Cross multiply
    366,947x = 554,117 × 554,117
  4. Step 4: Simplify right side
    366,947x = 307,045,649,689
  5. Step 5: Solve for x
    x = 307,045,649,689/366,947
  6. Step 6: Final answer
    x = 836,757.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.