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Finding the Third Proportional to 216,922.50 and 468,938.25

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Solution

The third proportional to 216,922.50 and 468,938.25 is: 1,013,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,922.50 : 468,938.25 = 468,938.25 : x
  2. Step 2: Convert to fraction form
    216,922.50/468,938.25 = 468,938.25/x
  3. Step 3: Cross multiply
    216,922.50x = 468,938.25 × 468,938.25
  4. Step 4: Simplify right side
    216,922.50x = 219,903,082,313.06
  5. Step 5: Solve for x
    x = 219,903,082,313.06/216,922.50
  6. Step 6: Final answer
    x = 1,013,740.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.