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Finding the Third Proportional to 285,972 and 609,942.50

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Solution

The third proportional to 285,972 and 609,942.50 is: 1,300,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972 : 609,942.50 = 609,942.50 : x
  2. Step 2: Convert to fraction form
    285,972/609,942.50 = 609,942.50/x
  3. Step 3: Cross multiply
    285,972x = 609,942.50 × 609,942.50
  4. Step 4: Simplify right side
    285,972x = 372,029,853,306.25
  5. Step 5: Solve for x
    x = 372,029,853,306.25/285,972
  6. Step 6: Final answer
    x = 1,300,931.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.