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Finding the Third Proportional to 362,565 and 790,128

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Solution

The third proportional to 362,565 and 790,128 is: 1,721,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565 : 790,128 = 790,128 : x
  2. Step 2: Convert to fraction form
    362,565/790,128 = 790,128/x
  3. Step 3: Cross multiply
    362,565x = 790,128 × 790,128
  4. Step 4: Simplify right side
    362,565x = 624,302,256,384
  5. Step 5: Solve for x
    x = 624,302,256,384/362,565
  6. Step 6: Final answer
    x = 1,721,904.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.