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Finding the Third Proportional to 492,601.50 and 760,650.75

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Solution

The third proportional to 492,601.50 and 760,650.75 is: 1,174,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,601.50 : 760,650.75 = 760,650.75 : x
  2. Step 2: Convert to fraction form
    492,601.50/760,650.75 = 760,650.75/x
  3. Step 3: Cross multiply
    492,601.50x = 760,650.75 × 760,650.75
  4. Step 4: Simplify right side
    492,601.50x = 578,589,563,475.56
  5. Step 5: Solve for x
    x = 578,589,563,475.56/492,601.50
  6. Step 6: Final answer
    x = 1,174,559.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.