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Finding the Third Proportional to 270,203.63 and 414,463.50

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Solution

The third proportional to 270,203.63 and 414,463.50 is: 635,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,203.63 : 414,463.50 = 414,463.50 : x
  2. Step 2: Convert to fraction form
    270,203.63/414,463.50 = 414,463.50/x
  3. Step 3: Cross multiply
    270,203.63x = 414,463.50 × 414,463.50
  4. Step 4: Simplify right side
    270,203.63x = 171,779,992,832.25
  5. Step 5: Solve for x
    x = 171,779,992,832.25/270,203.63
  6. Step 6: Final answer
    x = 635,742.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.