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Finding the Third Proportional to 197,052 and 423,669

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Solution

The third proportional to 197,052 and 423,669 is: 910,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,052 : 423,669 = 423,669 : x
  2. Step 2: Convert to fraction form
    197,052/423,669 = 423,669/x
  3. Step 3: Cross multiply
    197,052x = 423,669 × 423,669
  4. Step 4: Simplify right side
    197,052x = 179,495,421,561
  5. Step 5: Solve for x
    x = 179,495,421,561/197,052
  6. Step 6: Final answer
    x = 910,903.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.