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Finding the Third Proportional to 200,670 and 434,964

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Solution

The third proportional to 200,670 and 434,964 is: 942,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,670 : 434,964 = 434,964 : x
  2. Step 2: Convert to fraction form
    200,670/434,964 = 434,964/x
  3. Step 3: Cross multiply
    200,670x = 434,964 × 434,964
  4. Step 4: Simplify right side
    200,670x = 189,193,681,296
  5. Step 5: Solve for x
    x = 189,193,681,296/200,670
  6. Step 6: Final answer
    x = 942,809.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.