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Finding the Third Proportional to 565,425 and 874,377

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Solution

The third proportional to 565,425 and 874,377 is: 1,352,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,425 : 874,377 = 874,377 : x
  2. Step 2: Convert to fraction form
    565,425/874,377 = 874,377/x
  3. Step 3: Cross multiply
    565,425x = 874,377 × 874,377
  4. Step 4: Simplify right side
    565,425x = 764,535,138,129
  5. Step 5: Solve for x
    x = 764,535,138,129/565,425
  6. Step 6: Final answer
    x = 1,352,142.44

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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.