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Finding the Third Proportional to 353,546 and 768,565

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Solution

The third proportional to 353,546 and 768,565 is: 1,670,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,546 : 768,565 = 768,565 : x
  2. Step 2: Convert to fraction form
    353,546/768,565 = 768,565/x
  3. Step 3: Cross multiply
    353,546x = 768,565 × 768,565
  4. Step 4: Simplify right side
    353,546x = 590,692,159,225
  5. Step 5: Solve for x
    x = 590,692,159,225/353,546
  6. Step 6: Final answer
    x = 1,670,764.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.