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Finding the Third Proportional to 387,380 and 837,003

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Solution

The third proportional to 387,380 and 837,003 is: 1,808,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,380 : 837,003 = 837,003 : x
  2. Step 2: Convert to fraction form
    387,380/837,003 = 837,003/x
  3. Step 3: Cross multiply
    387,380x = 837,003 × 837,003
  4. Step 4: Simplify right side
    387,380x = 700,574,022,009
  5. Step 5: Solve for x
    x = 700,574,022,009/387,380
  6. Step 6: Final answer
    x = 1,808,493.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.