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Finding the Third Proportional to 384,891.75 and 597,430.69

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Solution

The third proportional to 384,891.75 and 597,430.69 is: 927,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,891.75 : 597,430.69 = 597,430.69 : x
  2. Step 2: Convert to fraction form
    384,891.75/597,430.69 = 597,430.69/x
  3. Step 3: Cross multiply
    384,891.75x = 597,430.69 × 597,430.69
  4. Step 4: Simplify right side
    384,891.75x = 356,923,426,366.72
  5. Step 5: Solve for x
    x = 356,923,426,366.72/384,891.75
  6. Step 6: Final answer
    x = 927,334.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.