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Finding the Third Proportional to 583,152 and 952,232

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Solution

The third proportional to 583,152 and 952,232 is: 1,554,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,152 : 952,232 = 952,232 : x
  2. Step 2: Convert to fraction form
    583,152/952,232 = 952,232/x
  3. Step 3: Cross multiply
    583,152x = 952,232 × 952,232
  4. Step 4: Simplify right side
    583,152x = 906,745,781,824
  5. Step 5: Solve for x
    x = 906,745,781,824/583,152
  6. Step 6: Final answer
    x = 1,554,904.69

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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.