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Finding the Third Proportional to 564,353 and 874,205

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Solution

The third proportional to 564,353 and 874,205 is: 1,354,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,353 : 874,205 = 874,205 : x
  2. Step 2: Convert to fraction form
    564,353/874,205 = 874,205/x
  3. Step 3: Cross multiply
    564,353x = 874,205 × 874,205
  4. Step 4: Simplify right side
    564,353x = 764,234,382,025
  5. Step 5: Solve for x
    x = 764,234,382,025/564,353
  6. Step 6: Final answer
    x = 1,354,177.94

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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.