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Finding the Third Proportional to 258,225 and 559,344

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Solution

The third proportional to 258,225 and 559,344 is: 1,211,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,225 : 559,344 = 559,344 : x
  2. Step 2: Convert to fraction form
    258,225/559,344 = 559,344/x
  3. Step 3: Cross multiply
    258,225x = 559,344 × 559,344
  4. Step 4: Simplify right side
    258,225x = 312,865,710,336
  5. Step 5: Solve for x
    x = 312,865,710,336/258,225
  6. Step 6: Final answer
    x = 1,211,601.16

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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.