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Finding the Third Proportional to 384,882.75 and 596,004.75

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Solution

The third proportional to 384,882.75 and 596,004.75 is: 922,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,882.75 : 596,004.75 = 596,004.75 : x
  2. Step 2: Convert to fraction form
    384,882.75/596,004.75 = 596,004.75/x
  3. Step 3: Cross multiply
    384,882.75x = 596,004.75 × 596,004.75
  4. Step 4: Simplify right side
    384,882.75x = 355,221,662,022.56
  5. Step 5: Solve for x
    x = 355,221,662,022.56/384,882.75
  6. Step 6: Final answer
    x = 922,934.74

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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.