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Finding the Third Proportional to 467,028 and 737,958

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Solution

The third proportional to 467,028 and 737,958 is: 1,166,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,028 : 737,958 = 737,958 : x
  2. Step 2: Convert to fraction form
    467,028/737,958 = 737,958/x
  3. Step 3: Cross multiply
    467,028x = 737,958 × 737,958
  4. Step 4: Simplify right side
    467,028x = 544,582,009,764
  5. Step 5: Solve for x
    x = 544,582,009,764/467,028
  6. Step 6: Final answer
    x = 1,166,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.