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Finding the Third Proportional to 429,097.50 and 600,189.75

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Solution

The third proportional to 429,097.50 and 600,189.75 is: 839,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,097.50 : 600,189.75 = 600,189.75 : x
  2. Step 2: Convert to fraction form
    429,097.50/600,189.75 = 600,189.75/x
  3. Step 3: Cross multiply
    429,097.50x = 600,189.75 × 600,189.75
  4. Step 4: Simplify right side
    429,097.50x = 360,227,736,005.06
  5. Step 5: Solve for x
    x = 360,227,736,005.06/429,097.50
  6. Step 6: Final answer
    x = 839,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.