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Finding the Third Proportional to 380,698.31 and 812,771.06

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Solution

The third proportional to 380,698.31 and 812,771.06 is: 1,735,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,698.31 : 812,771.06 = 812,771.06 : x
  2. Step 2: Convert to fraction form
    380,698.31/812,771.06 = 812,771.06/x
  3. Step 3: Cross multiply
    380,698.31x = 812,771.06 × 812,771.06
  4. Step 4: Simplify right side
    380,698.31x = 660,596,800,037.38
  5. Step 5: Solve for x
    x = 660,596,800,037.38/380,698.31
  6. Step 6: Final answer
    x = 1,735,223.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.