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Finding the Third Proportional to 377,530.88 and 589,259.81

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Solution

The third proportional to 377,530.88 and 589,259.81 is: 919,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,530.88 : 589,259.81 = 589,259.81 : x
  2. Step 2: Convert to fraction form
    377,530.88/589,259.81 = 589,259.81/x
  3. Step 3: Cross multiply
    377,530.88x = 589,259.81 × 589,259.81
  4. Step 4: Simplify right side
    377,530.88x = 347,227,126,627.54
  5. Step 5: Solve for x
    x = 347,227,126,627.54/377,530.88
  6. Step 6: Final answer
    x = 919,731.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.