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Finding the Third Proportional to 300,507.50 and 429,698

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Solution

The third proportional to 300,507.50 and 429,698 is: 614,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,507.50 : 429,698 = 429,698 : x
  2. Step 2: Convert to fraction form
    300,507.50/429,698 = 429,698/x
  3. Step 3: Cross multiply
    300,507.50x = 429,698 × 429,698
  4. Step 4: Simplify right side
    300,507.50x = 184,640,371,204
  5. Step 5: Solve for x
    x = 184,640,371,204/300,507.50
  6. Step 6: Final answer
    x = 614,428.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.