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Finding the Third Proportional to 291,682.13 and 633,159

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Solution

The third proportional to 291,682.13 and 633,159 is: 1,374,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,682.13 : 633,159 = 633,159 : x
  2. Step 2: Convert to fraction form
    291,682.13/633,159 = 633,159/x
  3. Step 3: Cross multiply
    291,682.13x = 633,159 × 633,159
  4. Step 4: Simplify right side
    291,682.13x = 400,890,319,281
  5. Step 5: Solve for x
    x = 400,890,319,281/291,682.13
  6. Step 6: Final answer
    x = 1,374,408.25

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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.