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Finding the Third Proportional to 362,266 and 794,516

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Solution

The third proportional to 362,266 and 794,516 is: 1,742,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,266 : 794,516 = 794,516 : x
  2. Step 2: Convert to fraction form
    362,266/794,516 = 794,516/x
  3. Step 3: Cross multiply
    362,266x = 794,516 × 794,516
  4. Step 4: Simplify right side
    362,266x = 631,255,674,256
  5. Step 5: Solve for x
    x = 631,255,674,256/362,266
  6. Step 6: Final answer
    x = 1,742,519.79

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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.