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Finding the Third Proportional to 583,130 and 952,199

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Solution

The third proportional to 583,130 and 952,199 is: 1,554,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,130 : 952,199 = 952,199 : x
  2. Step 2: Convert to fraction form
    583,130/952,199 = 952,199/x
  3. Step 3: Cross multiply
    583,130x = 952,199 × 952,199
  4. Step 4: Simplify right side
    583,130x = 906,682,935,601
  5. Step 5: Solve for x
    x = 906,682,935,601/583,130
  6. Step 6: Final answer
    x = 1,554,855.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.