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Finding the Third Proportional to 368,425 and 585,853

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Solution

The third proportional to 368,425 and 585,853 is: 931,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,425 : 585,853 = 585,853 : x
  2. Step 2: Convert to fraction form
    368,425/585,853 = 585,853/x
  3. Step 3: Cross multiply
    368,425x = 585,853 × 585,853
  4. Step 4: Simplify right side
    368,425x = 343,223,737,609
  5. Step 5: Solve for x
    x = 343,223,737,609/368,425
  6. Step 6: Final answer
    x = 931,597.31

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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.