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Finding the Third Proportional to 601,809.75 and 819,674.44

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Solution

The third proportional to 601,809.75 and 819,674.44 is: 1,116,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,809.75 : 819,674.44 = 819,674.44 : x
  2. Step 2: Convert to fraction form
    601,809.75/819,674.44 = 819,674.44/x
  3. Step 3: Cross multiply
    601,809.75x = 819,674.44 × 819,674.44
  4. Step 4: Simplify right side
    601,809.75x = 671,866,183,490.94
  5. Step 5: Solve for x
    x = 671,866,183,490.94/601,809.75
  6. Step 6: Final answer
    x = 1,116,409.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.