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Finding the Third Proportional to 367,073 and 808,648

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Solution

The third proportional to 367,073 and 808,648 is: 1,781,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,073 : 808,648 = 808,648 : x
  2. Step 2: Convert to fraction form
    367,073/808,648 = 808,648/x
  3. Step 3: Cross multiply
    367,073x = 808,648 × 808,648
  4. Step 4: Simplify right side
    367,073x = 653,911,587,904
  5. Step 5: Solve for x
    x = 653,911,587,904/367,073
  6. Step 6: Final answer
    x = 1,781,421.10

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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.