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Finding the Third Proportional to 370,707 and 809,370

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Solution

The third proportional to 370,707 and 809,370 is: 1,767,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,707 : 809,370 = 809,370 : x
  2. Step 2: Convert to fraction form
    370,707/809,370 = 809,370/x
  3. Step 3: Cross multiply
    370,707x = 809,370 × 809,370
  4. Step 4: Simplify right side
    370,707x = 655,079,796,900
  5. Step 5: Solve for x
    x = 655,079,796,900/370,707
  6. Step 6: Final answer
    x = 1,767,109.33

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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.