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Finding the Third Proportional to 466,848 and 720,976

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Solution

The third proportional to 466,848 and 720,976 is: 1,113,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,848 : 720,976 = 720,976 : x
  2. Step 2: Convert to fraction form
    466,848/720,976 = 720,976/x
  3. Step 3: Cross multiply
    466,848x = 720,976 × 720,976
  4. Step 4: Simplify right side
    466,848x = 519,806,392,576
  5. Step 5: Solve for x
    x = 519,806,392,576/466,848
  6. Step 6: Final answer
    x = 1,113,438.19

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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.