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Finding the Third Proportional to 564,255.56 and 874,677.94

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Solution

The third proportional to 564,255.56 and 874,677.94 is: 1,355,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,255.56 : 874,677.94 = 874,677.94 : x
  2. Step 2: Convert to fraction form
    564,255.56/874,677.94 = 874,677.94/x
  3. Step 3: Cross multiply
    564,255.56x = 874,677.94 × 874,677.94
  4. Step 4: Simplify right side
    564,255.56x = 765,061,494,349.25
  5. Step 5: Solve for x
    x = 765,061,494,349.25/564,255.56
  6. Step 6: Final answer
    x = 1,355,877.63

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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.