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Finding the Third Proportional to 371,737 and 590,819

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Solution

The third proportional to 371,737 and 590,819 is: 939,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,737 : 590,819 = 590,819 : x
  2. Step 2: Convert to fraction form
    371,737/590,819 = 590,819/x
  3. Step 3: Cross multiply
    371,737x = 590,819 × 590,819
  4. Step 4: Simplify right side
    371,737x = 349,067,090,761
  5. Step 5: Solve for x
    x = 349,067,090,761/371,737
  6. Step 6: Final answer
    x = 939,016.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.