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Finding the Third Proportional to 367,003 and 808,509

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Solution

The third proportional to 367,003 and 808,509 is: 1,781,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,003 : 808,509 = 808,509 : x
  2. Step 2: Convert to fraction form
    367,003/808,509 = 808,509/x
  3. Step 3: Cross multiply
    367,003x = 808,509 × 808,509
  4. Step 4: Simplify right side
    367,003x = 653,686,803,081
  5. Step 5: Solve for x
    x = 653,686,803,081/367,003
  6. Step 6: Final answer
    x = 1,781,148.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.