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Finding the Third Proportional to 662,184 and 874,324

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Solution

The third proportional to 662,184 and 874,324 is: 1,154,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,184 : 874,324 = 874,324 : x
  2. Step 2: Convert to fraction form
    662,184/874,324 = 874,324/x
  3. Step 3: Cross multiply
    662,184x = 874,324 × 874,324
  4. Step 4: Simplify right side
    662,184x = 764,442,456,976
  5. Step 5: Solve for x
    x = 764,442,456,976/662,184
  6. Step 6: Final answer
    x = 1,154,426.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.