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Finding the Third Proportional to 362,278 and 794,540

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Solution

The third proportional to 362,278 and 794,540 is: 1,742,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,278 : 794,540 = 794,540 : x
  2. Step 2: Convert to fraction form
    362,278/794,540 = 794,540/x
  3. Step 3: Cross multiply
    362,278x = 794,540 × 794,540
  4. Step 4: Simplify right side
    362,278x = 631,293,811,600
  5. Step 5: Solve for x
    x = 631,293,811,600/362,278
  6. Step 6: Final answer
    x = 1,742,567.34

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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.