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Finding the Third Proportional to 314,452 and 698,564

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Solution

The third proportional to 314,452 and 698,564 is: 1,551,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,452 : 698,564 = 698,564 : x
  2. Step 2: Convert to fraction form
    314,452/698,564 = 698,564/x
  3. Step 3: Cross multiply
    314,452x = 698,564 × 698,564
  4. Step 4: Simplify right side
    314,452x = 487,991,662,096
  5. Step 5: Solve for x
    x = 487,991,662,096/314,452
  6. Step 6: Final answer
    x = 1,551,879.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.