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Finding the Third Proportional to 310,644 and 477,324

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Solution

The third proportional to 310,644 and 477,324 is: 733,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,644 : 477,324 = 477,324 : x
  2. Step 2: Convert to fraction form
    310,644/477,324 = 477,324/x
  3. Step 3: Cross multiply
    310,644x = 477,324 × 477,324
  4. Step 4: Simplify right side
    310,644x = 227,838,200,976
  5. Step 5: Solve for x
    x = 227,838,200,976/310,644
  6. Step 6: Final answer
    x = 733,438.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.