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Finding the Third Proportional to 370,816.50 and 794,120.25

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Solution

The third proportional to 370,816.50 and 794,120.25 is: 1,700,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,816.50 : 794,120.25 = 794,120.25 : x
  2. Step 2: Convert to fraction form
    370,816.50/794,120.25 = 794,120.25/x
  3. Step 3: Cross multiply
    370,816.50x = 794,120.25 × 794,120.25
  4. Step 4: Simplify right side
    370,816.50x = 630,626,971,460.06
  5. Step 5: Solve for x
    x = 630,626,971,460.06/370,816.50
  6. Step 6: Final answer
    x = 1,700,644.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.