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Finding the Third Proportional to 370,491.47 and 808,757.16

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Solution

The third proportional to 370,491.47 and 808,757.16 is: 1,765,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,491.47 : 808,757.16 = 808,757.16 : x
  2. Step 2: Convert to fraction form
    370,491.47/808,757.16 = 808,757.16/x
  3. Step 3: Cross multiply
    370,491.47x = 808,757.16 × 808,757.16
  4. Step 4: Simplify right side
    370,491.47x = 654,088,137,785.59
  5. Step 5: Solve for x
    x = 654,088,137,785.59/370,491.47
  6. Step 6: Final answer
    x = 1,765,460.73

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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.