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Finding the Third Proportional to 368,044 and 789,291

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Solution

The third proportional to 368,044 and 789,291 is: 1,692,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,044 : 789,291 = 789,291 : x
  2. Step 2: Convert to fraction form
    368,044/789,291 = 789,291/x
  3. Step 3: Cross multiply
    368,044x = 789,291 × 789,291
  4. Step 4: Simplify right side
    368,044x = 622,980,282,681
  5. Step 5: Solve for x
    x = 622,980,282,681/368,044
  6. Step 6: Final answer
    x = 1,692,678.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.