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Finding the Third Proportional to 284,520 and 621,536

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Solution

The third proportional to 284,520 and 621,536 is: 1,357,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,520 : 621,536 = 621,536 : x
  2. Step 2: Convert to fraction form
    284,520/621,536 = 621,536/x
  3. Step 3: Cross multiply
    284,520x = 621,536 × 621,536
  4. Step 4: Simplify right side
    284,520x = 386,306,999,296
  5. Step 5: Solve for x
    x = 386,306,999,296/284,520
  6. Step 6: Final answer
    x = 1,357,749.89

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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.