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Finding the Third Proportional to 291,826.13 and 628,678.13

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Solution

The third proportional to 291,826.13 and 628,678.13 is: 1,354,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,826.13 : 628,678.13 = 628,678.13 : x
  2. Step 2: Convert to fraction form
    291,826.13/628,678.13 = 628,678.13/x
  3. Step 3: Cross multiply
    291,826.13x = 628,678.13 × 628,678.13
  4. Step 4: Simplify right side
    291,826.13x = 395,236,184,853.52
  5. Step 5: Solve for x
    x = 395,236,184,853.52/291,826.13
  6. Step 6: Final answer
    x = 1,354,355.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.