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Finding the Third Proportional to 565,418 and 874,384

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Solution

The third proportional to 565,418 and 874,384 is: 1,352,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,418 : 874,384 = 874,384 : x
  2. Step 2: Convert to fraction form
    565,418/874,384 = 874,384/x
  3. Step 3: Cross multiply
    565,418x = 874,384 × 874,384
  4. Step 4: Simplify right side
    565,418x = 764,547,379,456
  5. Step 5: Solve for x
    x = 764,547,379,456/565,418
  6. Step 6: Final answer
    x = 1,352,180.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.