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Finding the Third Proportional to 475,922 and 736,923

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Solution

The third proportional to 475,922 and 736,923 is: 1,141,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,922 : 736,923 = 736,923 : x
  2. Step 2: Convert to fraction form
    475,922/736,923 = 736,923/x
  3. Step 3: Cross multiply
    475,922x = 736,923 × 736,923
  4. Step 4: Simplify right side
    475,922x = 543,055,507,929
  5. Step 5: Solve for x
    x = 543,055,507,929/475,922
  6. Step 6: Final answer
    x = 1,141,059.90

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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.