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Finding the Third Proportional to 310,650 and 477,333

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Solution

The third proportional to 310,650 and 477,333 is: 733,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,650 : 477,333 = 477,333 : x
  2. Step 2: Convert to fraction form
    310,650/477,333 = 477,333/x
  3. Step 3: Cross multiply
    310,650x = 477,333 × 477,333
  4. Step 4: Simplify right side
    310,650x = 227,846,792,889
  5. Step 5: Solve for x
    x = 227,846,792,889/310,650
  6. Step 6: Final answer
    x = 733,451.77

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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.