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Finding the Third Proportional to 370,673.25 and 809,315.25

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Solution

The third proportional to 370,673.25 and 809,315.25 is: 1,767,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,673.25 : 809,315.25 = 809,315.25 : x
  2. Step 2: Convert to fraction form
    370,673.25/809,315.25 = 809,315.25/x
  3. Step 3: Cross multiply
    370,673.25x = 809,315.25 × 809,315.25
  4. Step 4: Simplify right side
    370,673.25x = 654,991,173,882.56
  5. Step 5: Solve for x
    x = 654,991,173,882.56/370,673.25
  6. Step 6: Final answer
    x = 1,767,031.14

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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.