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Finding the Third Proportional to 284,031 and 616,344.50

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Solution

The third proportional to 284,031 and 616,344.50 is: 1,337,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,031 : 616,344.50 = 616,344.50 : x
  2. Step 2: Convert to fraction form
    284,031/616,344.50 = 616,344.50/x
  3. Step 3: Cross multiply
    284,031x = 616,344.50 × 616,344.50
  4. Step 4: Simplify right side
    284,031x = 379,880,542,680.25
  5. Step 5: Solve for x
    x = 379,880,542,680.25/284,031
  6. Step 6: Final answer
    x = 1,337,461.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.