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Finding the Third Proportional to 366,217 and 548,967

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Solution

The third proportional to 366,217 and 548,967 is: 822,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,217 : 548,967 = 548,967 : x
  2. Step 2: Convert to fraction form
    366,217/548,967 = 548,967/x
  3. Step 3: Cross multiply
    366,217x = 548,967 × 548,967
  4. Step 4: Simplify right side
    366,217x = 301,364,767,089
  5. Step 5: Solve for x
    x = 301,364,767,089/366,217
  6. Step 6: Final answer
    x = 822,913.10

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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.