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Finding the Third Proportional to 564,355 and 874,208

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Solution

The third proportional to 564,355 and 874,208 is: 1,354,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,355 : 874,208 = 874,208 : x
  2. Step 2: Convert to fraction form
    564,355/874,208 = 874,208/x
  3. Step 3: Cross multiply
    564,355x = 874,208 × 874,208
  4. Step 4: Simplify right side
    564,355x = 764,239,627,264
  5. Step 5: Solve for x
    x = 764,239,627,264/564,355
  6. Step 6: Final answer
    x = 1,354,182.43

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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.