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Finding the Third Proportional to 362,282 and 794,548

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Solution

The third proportional to 362,282 and 794,548 is: 1,742,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,282 : 794,548 = 794,548 : x
  2. Step 2: Convert to fraction form
    362,282/794,548 = 794,548/x
  3. Step 3: Cross multiply
    362,282x = 794,548 × 794,548
  4. Step 4: Simplify right side
    362,282x = 631,306,524,304
  5. Step 5: Solve for x
    x = 631,306,524,304/362,282
  6. Step 6: Final answer
    x = 1,742,583.19

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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.