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Finding the Third Proportional to 289,462.50 and 627,223.50

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Solution

The third proportional to 289,462.50 and 627,223.50 is: 1,359,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,462.50 : 627,223.50 = 627,223.50 : x
  2. Step 2: Convert to fraction form
    289,462.50/627,223.50 = 627,223.50/x
  3. Step 3: Cross multiply
    289,462.50x = 627,223.50 × 627,223.50
  4. Step 4: Simplify right side
    289,462.50x = 393,409,318,952.25
  5. Step 5: Solve for x
    x = 393,409,318,952.25/289,462.50
  6. Step 6: Final answer
    x = 1,359,102.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.