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Finding the Third Proportional to 474,939 and 738,045

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Solution

The third proportional to 474,939 and 738,045 is: 1,146,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,939 : 738,045 = 738,045 : x
  2. Step 2: Convert to fraction form
    474,939/738,045 = 738,045/x
  3. Step 3: Cross multiply
    474,939x = 738,045 × 738,045
  4. Step 4: Simplify right side
    474,939x = 544,710,422,025
  5. Step 5: Solve for x
    x = 544,710,422,025/474,939
  6. Step 6: Final answer
    x = 1,146,906.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.