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Finding the Third Proportional to 559,452 and 867,852

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Solution

The third proportional to 559,452 and 867,852 is: 1,346,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,452 : 867,852 = 867,852 : x
  2. Step 2: Convert to fraction form
    559,452/867,852 = 867,852/x
  3. Step 3: Cross multiply
    559,452x = 867,852 × 867,852
  4. Step 4: Simplify right side
    559,452x = 753,167,093,904
  5. Step 5: Solve for x
    x = 753,167,093,904/559,452
  6. Step 6: Final answer
    x = 1,346,258.65

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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.