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Finding the Third Proportional to 354,601.55 and 767,944.55

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Solution

The third proportional to 354,601.55 and 767,944.55 is: 1,663,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,601.55 : 767,944.55 = 767,944.55 : x
  2. Step 2: Convert to fraction form
    354,601.55/767,944.55 = 767,944.55/x
  3. Step 3: Cross multiply
    354,601.55x = 767,944.55 × 767,944.55
  4. Step 4: Simplify right side
    354,601.55x = 589,738,827,075.05
  5. Step 5: Solve for x
    x = 589,738,827,075.05/354,601.55
  6. Step 6: Final answer
    x = 1,663,102.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.