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Finding the Third Proportional to 610,584.50 and 934,008.75

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Solution

The third proportional to 610,584.50 and 934,008.75 is: 1,428,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,584.50 : 934,008.75 = 934,008.75 : x
  2. Step 2: Convert to fraction form
    610,584.50/934,008.75 = 934,008.75/x
  3. Step 3: Cross multiply
    610,584.50x = 934,008.75 × 934,008.75
  4. Step 4: Simplify right side
    610,584.50x = 872,372,345,076.56
  5. Step 5: Solve for x
    x = 872,372,345,076.56/610,584.50
  6. Step 6: Final answer
    x = 1,428,749.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.