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Finding the Third Proportional to 362,256 and 794,496

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Solution

The third proportional to 362,256 and 794,496 is: 1,742,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,256 : 794,496 = 794,496 : x
  2. Step 2: Convert to fraction form
    362,256/794,496 = 794,496/x
  3. Step 3: Cross multiply
    362,256x = 794,496 × 794,496
  4. Step 4: Simplify right side
    362,256x = 631,223,894,016
  5. Step 5: Solve for x
    x = 631,223,894,016/362,256
  6. Step 6: Final answer
    x = 1,742,480.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.