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Finding the Third Proportional to 360,272 and 776,384

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Solution

The third proportional to 360,272 and 776,384 is: 1,673,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,272 : 776,384 = 776,384 : x
  2. Step 2: Convert to fraction form
    360,272/776,384 = 776,384/x
  3. Step 3: Cross multiply
    360,272x = 776,384 × 776,384
  4. Step 4: Simplify right side
    360,272x = 602,772,115,456
  5. Step 5: Solve for x
    x = 602,772,115,456/360,272
  6. Step 6: Final answer
    x = 1,673,102.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.