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Finding the Third Proportional to 370,666.13 and 809,311.50

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Solution

The third proportional to 370,666.13 and 809,311.50 is: 1,767,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,666.13 : 809,311.50 = 809,311.50 : x
  2. Step 2: Convert to fraction form
    370,666.13/809,311.50 = 809,311.50/x
  3. Step 3: Cross multiply
    370,666.13x = 809,311.50 × 809,311.50
  4. Step 4: Simplify right side
    370,666.13x = 654,985,104,032.25
  5. Step 5: Solve for x
    x = 654,985,104,032.25/370,666.13
  6. Step 6: Final answer
    x = 1,767,048.73

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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.