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Finding the Third Proportional to 362,271 and 794,526

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Solution

The third proportional to 362,271 and 794,526 is: 1,742,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,271 : 794,526 = 794,526 : x
  2. Step 2: Convert to fraction form
    362,271/794,526 = 794,526/x
  3. Step 3: Cross multiply
    362,271x = 794,526 × 794,526
  4. Step 4: Simplify right side
    362,271x = 631,271,564,676
  5. Step 5: Solve for x
    x = 631,271,564,676/362,271
  6. Step 6: Final answer
    x = 1,742,539.60

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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.