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Finding the Third Proportional to 370,591.88 and 808,945.31

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Solution

The third proportional to 370,591.88 and 808,945.31 is: 1,765,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,591.88 : 808,945.31 = 808,945.31 : x
  2. Step 2: Convert to fraction form
    370,591.88/808,945.31 = 808,945.31/x
  3. Step 3: Cross multiply
    370,591.88x = 808,945.31 × 808,945.31
  4. Step 4: Simplify right side
    370,591.88x = 654,392,518,615.72
  5. Step 5: Solve for x
    x = 654,392,518,615.72/370,591.88
  6. Step 6: Final answer
    x = 1,765,803.74

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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.