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Finding the Third Proportional to 567,639 and 946,028.25

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Solution

The third proportional to 567,639 and 946,028.25 is: 1,576,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,639 : 946,028.25 = 946,028.25 : x
  2. Step 2: Convert to fraction form
    567,639/946,028.25 = 946,028.25/x
  3. Step 3: Cross multiply
    567,639x = 946,028.25 × 946,028.25
  4. Step 4: Simplify right side
    567,639x = 894,969,449,798.06
  5. Step 5: Solve for x
    x = 894,969,449,798.06/567,639
  6. Step 6: Final answer
    x = 1,576,652.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.