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Finding the Third Proportional to 200,004 and 433,920

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Solution

The third proportional to 200,004 and 433,920 is: 941,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004 : 433,920 = 433,920 : x
  2. Step 2: Convert to fraction form
    200,004/433,920 = 433,920/x
  3. Step 3: Cross multiply
    200,004x = 433,920 × 433,920
  4. Step 4: Simplify right side
    200,004x = 188,286,566,400
  5. Step 5: Solve for x
    x = 188,286,566,400/200,004
  6. Step 6: Final answer
    x = 941,414.00

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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.