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Finding the Third Proportional to 373,116 and 591,766

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Solution

The third proportional to 373,116 and 591,766 is: 938,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,116 : 591,766 = 591,766 : x
  2. Step 2: Convert to fraction form
    373,116/591,766 = 591,766/x
  3. Step 3: Cross multiply
    373,116x = 591,766 × 591,766
  4. Step 4: Simplify right side
    373,116x = 350,186,998,756
  5. Step 5: Solve for x
    x = 350,186,998,756/373,116
  6. Step 6: Final answer
    x = 938,547.26

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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.