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Finding the Third Proportional to 583,134 and 952,205

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Solution

The third proportional to 583,134 and 952,205 is: 1,554,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,134 : 952,205 = 952,205 : x
  2. Step 2: Convert to fraction form
    583,134/952,205 = 952,205/x
  3. Step 3: Cross multiply
    583,134x = 952,205 × 952,205
  4. Step 4: Simplify right side
    583,134x = 906,694,362,025
  5. Step 5: Solve for x
    x = 906,694,362,025/583,134
  6. Step 6: Final answer
    x = 1,554,864.51

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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.