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Finding the Third Proportional to 358,928 and 563,104

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Solution

The third proportional to 358,928 and 563,104 is: 883,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,928 : 563,104 = 563,104 : x
  2. Step 2: Convert to fraction form
    358,928/563,104 = 563,104/x
  3. Step 3: Cross multiply
    358,928x = 563,104 × 563,104
  4. Step 4: Simplify right side
    358,928x = 317,086,114,816
  5. Step 5: Solve for x
    x = 317,086,114,816/358,928
  6. Step 6: Final answer
    x = 883,425.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.