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Finding the Third Proportional to 233,397 and 500,004

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Solution

The third proportional to 233,397 and 500,004 is: 1,071,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,397 : 500,004 = 500,004 : x
  2. Step 2: Convert to fraction form
    233,397/500,004 = 500,004/x
  3. Step 3: Cross multiply
    233,397x = 500,004 × 500,004
  4. Step 4: Simplify right side
    233,397x = 250,004,000,016
  5. Step 5: Solve for x
    x = 250,004,000,016/233,397
  6. Step 6: Final answer
    x = 1,071,153.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.