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Finding the Third Proportional to 359,586.75 and 775,215.75

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Solution

The third proportional to 359,586.75 and 775,215.75 is: 1,671,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,586.75 : 775,215.75 = 775,215.75 : x
  2. Step 2: Convert to fraction form
    359,586.75/775,215.75 = 775,215.75/x
  3. Step 3: Cross multiply
    359,586.75x = 775,215.75 × 775,215.75
  4. Step 4: Simplify right side
    359,586.75x = 600,959,459,048.06
  5. Step 5: Solve for x
    x = 600,959,459,048.06/359,586.75
  6. Step 6: Final answer
    x = 1,671,250.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.