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Finding the Third Proportional to 359,565 and 789,114

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Solution

The third proportional to 359,565 and 789,114 is: 1,731,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,565 : 789,114 = 789,114 : x
  2. Step 2: Convert to fraction form
    359,565/789,114 = 789,114/x
  3. Step 3: Cross multiply
    359,565x = 789,114 × 789,114
  4. Step 4: Simplify right side
    359,565x = 622,700,904,996
  5. Step 5: Solve for x
    x = 622,700,904,996/359,565
  6. Step 6: Final answer
    x = 1,731,817.35

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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.