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Finding the Third Proportional to 564,402 and 874,286

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Solution

The third proportional to 564,402 and 874,286 is: 1,354,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,402 : 874,286 = 874,286 : x
  2. Step 2: Convert to fraction form
    564,402/874,286 = 874,286/x
  3. Step 3: Cross multiply
    564,402x = 874,286 × 874,286
  4. Step 4: Simplify right side
    564,402x = 764,376,009,796
  5. Step 5: Solve for x
    x = 764,376,009,796/564,402
  6. Step 6: Final answer
    x = 1,354,311.31

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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.