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Finding the Third Proportional to 310,448.25 and 474,582.38

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Solution

The third proportional to 310,448.25 and 474,582.38 is: 725,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,448.25 : 474,582.38 = 474,582.38 : x
  2. Step 2: Convert to fraction form
    310,448.25/474,582.38 = 474,582.38/x
  3. Step 3: Cross multiply
    310,448.25x = 474,582.38 × 474,582.38
  4. Step 4: Simplify right side
    310,448.25x = 225,228,430,660.64
  5. Step 5: Solve for x
    x = 225,228,430,660.64/310,448.25
  6. Step 6: Final answer
    x = 725,494.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.