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Finding the Third Proportional to 284,711.63 and 619,243.31

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Solution

The third proportional to 284,711.63 and 619,243.31 is: 1,346,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,711.63 : 619,243.31 = 619,243.31 : x
  2. Step 2: Convert to fraction form
    284,711.63/619,243.31 = 619,243.31/x
  3. Step 3: Cross multiply
    284,711.63x = 619,243.31 × 619,243.31
  4. Step 4: Simplify right side
    284,711.63x = 383,462,280,075.97
  5. Step 5: Solve for x
    x = 383,462,280,075.97/284,711.63
  6. Step 6: Final answer
    x = 1,346,844.48

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Why These Related Problems?

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