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Finding the Third Proportional to 241,628 and 523,078

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Solution

The third proportional to 241,628 and 523,078 is: 1,132,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,628 : 523,078 = 523,078 : x
  2. Step 2: Convert to fraction form
    241,628/523,078 = 523,078/x
  3. Step 3: Cross multiply
    241,628x = 523,078 × 523,078
  4. Step 4: Simplify right side
    241,628x = 273,610,594,084
  5. Step 5: Solve for x
    x = 273,610,594,084/241,628
  6. Step 6: Final answer
    x = 1,132,362.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.