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Finding the Third Proportional to 233,907 and 512,563.50

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Solution

The third proportional to 233,907 and 512,563.50 is: 1,123,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,907 : 512,563.50 = 512,563.50 : x
  2. Step 2: Convert to fraction form
    233,907/512,563.50 = 512,563.50/x
  3. Step 3: Cross multiply
    233,907x = 512,563.50 × 512,563.50
  4. Step 4: Simplify right side
    233,907x = 262,721,341,532.25
  5. Step 5: Solve for x
    x = 262,721,341,532.25/233,907
  6. Step 6: Final answer
    x = 1,123,187.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.