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Finding the Third Proportional to 366,968 and 548,746

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Solution

The third proportional to 366,968 and 548,746 is: 820,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,968 : 548,746 = 548,746 : x
  2. Step 2: Convert to fraction form
    366,968/548,746 = 548,746/x
  3. Step 3: Cross multiply
    366,968x = 548,746 × 548,746
  4. Step 4: Simplify right side
    366,968x = 301,122,172,516
  5. Step 5: Solve for x
    x = 301,122,172,516/366,968
  6. Step 6: Final answer
    x = 820,567.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.