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Finding the Third Proportional to 233,038 and 496,580

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Solution

The third proportional to 233,038 and 496,580 is: 1,058,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,038 : 496,580 = 496,580 : x
  2. Step 2: Convert to fraction form
    233,038/496,580 = 496,580/x
  3. Step 3: Cross multiply
    233,038x = 496,580 × 496,580
  4. Step 4: Simplify right side
    233,038x = 246,591,696,400
  5. Step 5: Solve for x
    x = 246,591,696,400/233,038
  6. Step 6: Final answer
    x = 1,058,160.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.