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Finding the Third Proportional to 196,354 and 423,596

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Solution

The third proportional to 196,354 and 423,596 is: 913,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354 : 423,596 = 423,596 : x
  2. Step 2: Convert to fraction form
    196,354/423,596 = 423,596/x
  3. Step 3: Cross multiply
    196,354x = 423,596 × 423,596
  4. Step 4: Simplify right side
    196,354x = 179,433,571,216
  5. Step 5: Solve for x
    x = 179,433,571,216/196,354
  6. Step 6: Final answer
    x = 913,826.92

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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.