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Finding the Third Proportional to 370,600 and 808,111

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Solution

The third proportional to 370,600 and 808,111 is: 1,762,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,600 : 808,111 = 808,111 : x
  2. Step 2: Convert to fraction form
    370,600/808,111 = 808,111/x
  3. Step 3: Cross multiply
    370,600x = 808,111 × 808,111
  4. Step 4: Simplify right side
    370,600x = 653,043,388,321
  5. Step 5: Solve for x
    x = 653,043,388,321/370,600
  6. Step 6: Final answer
    x = 1,762,124.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.