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Finding the Third Proportional to 366,948 and 773,684

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Solution

The third proportional to 366,948 and 773,684 is: 1,631,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,948 : 773,684 = 773,684 : x
  2. Step 2: Convert to fraction form
    366,948/773,684 = 773,684/x
  3. Step 3: Cross multiply
    366,948x = 773,684 × 773,684
  4. Step 4: Simplify right side
    366,948x = 598,586,931,856
  5. Step 5: Solve for x
    x = 598,586,931,856/366,948
  6. Step 6: Final answer
    x = 1,631,258.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.