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Finding the Third Proportional to 387,662.84 and 501,532.07

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Solution

The third proportional to 387,662.84 and 501,532.07 is: 648,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,662.84 : 501,532.07 = 501,532.07 : x
  2. Step 2: Convert to fraction form
    387,662.84/501,532.07 = 501,532.07/x
  3. Step 3: Cross multiply
    387,662.84x = 501,532.07 × 501,532.07
  4. Step 4: Simplify right side
    387,662.84x = 251,534,413,633.71
  5. Step 5: Solve for x
    x = 251,534,413,633.71/387,662.84
  6. Step 6: Final answer
    x = 648,848.41

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.