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Finding the Third Proportional to 233,004 and 508,344

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Solution

The third proportional to 233,004 and 508,344 is: 1,109,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,004 : 508,344 = 508,344 : x
  2. Step 2: Convert to fraction form
    233,004/508,344 = 508,344/x
  3. Step 3: Cross multiply
    233,004x = 508,344 × 508,344
  4. Step 4: Simplify right side
    233,004x = 258,413,622,336
  5. Step 5: Solve for x
    x = 258,413,622,336/233,004
  6. Step 6: Final answer
    x = 1,109,052.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.