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Finding the Third Proportional to 456,848 and 727,512

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Solution

The third proportional to 456,848 and 727,512 is: 1,158,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,848 : 727,512 = 727,512 : x
  2. Step 2: Convert to fraction form
    456,848/727,512 = 727,512/x
  3. Step 3: Cross multiply
    456,848x = 727,512 × 727,512
  4. Step 4: Simplify right side
    456,848x = 529,273,710,144
  5. Step 5: Solve for x
    x = 529,273,710,144/456,848
  6. Step 6: Final answer
    x = 1,158,533.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.