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Finding the Third Proportional to 448,390 and 938,324

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Solution

The third proportional to 448,390 and 938,324 is: 1,963,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,390 : 938,324 = 938,324 : x
  2. Step 2: Convert to fraction form
    448,390/938,324 = 938,324/x
  3. Step 3: Cross multiply
    448,390x = 938,324 × 938,324
  4. Step 4: Simplify right side
    448,390x = 880,451,928,976
  5. Step 5: Solve for x
    x = 880,451,928,976/448,390
  6. Step 6: Final answer
    x = 1,963,585.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.