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Finding the Third Proportional to 594,009 and 787,664.25

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Solution

The third proportional to 594,009 and 787,664.25 is: 1,044,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,009 : 787,664.25 = 787,664.25 : x
  2. Step 2: Convert to fraction form
    594,009/787,664.25 = 787,664.25/x
  3. Step 3: Cross multiply
    594,009x = 787,664.25 × 787,664.25
  4. Step 4: Simplify right side
    594,009x = 620,414,970,728.06
  5. Step 5: Solve for x
    x = 620,414,970,728.06/594,009
  6. Step 6: Final answer
    x = 1,044,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.