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Finding the Third Proportional to 284,254.50 and 619,952.44

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Solution

The third proportional to 284,254.50 and 619,952.44 is: 1,352,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,254.50 : 619,952.44 = 619,952.44 : x
  2. Step 2: Convert to fraction form
    284,254.50/619,952.44 = 619,952.44/x
  3. Step 3: Cross multiply
    284,254.50x = 619,952.44 × 619,952.44
  4. Step 4: Simplify right side
    284,254.50x = 384,341,024,762.19
  5. Step 5: Solve for x
    x = 384,341,024,762.19/284,254.50
  6. Step 6: Final answer
    x = 1,352,101.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.