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Finding the Third Proportional to 366,970 and 554,152

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Solution

The third proportional to 366,970 and 554,152 is: 836,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 554,152 = 554,152 : x
  2. Step 2: Convert to fraction form
    366,970/554,152 = 554,152/x
  3. Step 3: Cross multiply
    366,970x = 554,152 × 554,152
  4. Step 4: Simplify right side
    366,970x = 307,084,439,104
  5. Step 5: Solve for x
    x = 307,084,439,104/366,970
  6. Step 6: Final answer
    x = 836,810.75

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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.