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Finding the Third Proportional to 383,059.13 and 832,457.25

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Solution

The third proportional to 383,059.13 and 832,457.25 is: 1,809,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,059.13 : 832,457.25 = 832,457.25 : x
  2. Step 2: Convert to fraction form
    383,059.13/832,457.25 = 832,457.25/x
  3. Step 3: Cross multiply
    383,059.13x = 832,457.25 × 832,457.25
  4. Step 4: Simplify right side
    383,059.13x = 692,985,073,077.56
  5. Step 5: Solve for x
    x = 692,985,073,077.56/383,059.13
  6. Step 6: Final answer
    x = 1,809,081.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.