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Finding the Third Proportional to 437,328 and 960,264

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Solution

The third proportional to 437,328 and 960,264 is: 2,108,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,328 : 960,264 = 960,264 : x
  2. Step 2: Convert to fraction form
    437,328/960,264 = 960,264/x
  3. Step 3: Cross multiply
    437,328x = 960,264 × 960,264
  4. Step 4: Simplify right side
    437,328x = 922,106,949,696
  5. Step 5: Solve for x
    x = 922,106,949,696/437,328
  6. Step 6: Final answer
    x = 2,108,501.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.