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Finding the Third Proportional to 564,351 and 874,202

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Solution

The third proportional to 564,351 and 874,202 is: 1,354,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,351 : 874,202 = 874,202 : x
  2. Step 2: Convert to fraction form
    564,351/874,202 = 874,202/x
  3. Step 3: Cross multiply
    564,351x = 874,202 × 874,202
  4. Step 4: Simplify right side
    564,351x = 764,229,136,804
  5. Step 5: Solve for x
    x = 764,229,136,804/564,351
  6. Step 6: Final answer
    x = 1,354,173.44

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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.