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Finding the Third Proportional to 583,208 and 952,332

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Solution

The third proportional to 583,208 and 952,332 is: 1,555,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,208 : 952,332 = 952,332 : x
  2. Step 2: Convert to fraction form
    583,208/952,332 = 952,332/x
  3. Step 3: Cross multiply
    583,208x = 952,332 × 952,332
  4. Step 4: Simplify right side
    583,208x = 906,936,238,224
  5. Step 5: Solve for x
    x = 906,936,238,224/583,208
  6. Step 6: Final answer
    x = 1,555,081.96

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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.