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Finding the Third Proportional to 229,563.75 and 486,916.50

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Solution

The third proportional to 229,563.75 and 486,916.50 is: 1,032,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,563.75 : 486,916.50 = 486,916.50 : x
  2. Step 2: Convert to fraction form
    229,563.75/486,916.50 = 486,916.50/x
  3. Step 3: Cross multiply
    229,563.75x = 486,916.50 × 486,916.50
  4. Step 4: Simplify right side
    229,563.75x = 237,087,677,972.25
  5. Step 5: Solve for x
    x = 237,087,677,972.25/229,563.75
  6. Step 6: Final answer
    x = 1,032,774.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.