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Finding the Third Proportional to 380,083 and 826,320

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Solution

The third proportional to 380,083 and 826,320 is: 1,796,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,083 : 826,320 = 826,320 : x
  2. Step 2: Convert to fraction form
    380,083/826,320 = 826,320/x
  3. Step 3: Cross multiply
    380,083x = 826,320 × 826,320
  4. Step 4: Simplify right side
    380,083x = 682,804,742,400
  5. Step 5: Solve for x
    x = 682,804,742,400/380,083
  6. Step 6: Final answer
    x = 1,796,462.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.