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Finding the Third Proportional to 370,675 and 809,319

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Solution

The third proportional to 370,675 and 809,319 is: 1,767,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,675 : 809,319 = 809,319 : x
  2. Step 2: Convert to fraction form
    370,675/809,319 = 809,319/x
  3. Step 3: Cross multiply
    370,675x = 809,319 × 809,319
  4. Step 4: Simplify right side
    370,675x = 654,997,243,761
  5. Step 5: Solve for x
    x = 654,997,243,761/370,675
  6. Step 6: Final answer
    x = 1,767,039.17

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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.