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Finding the Third Proportional to 370,814.63 and 794,117.25

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Solution

The third proportional to 370,814.63 and 794,117.25 is: 1,700,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,814.63 : 794,117.25 = 794,117.25 : x
  2. Step 2: Convert to fraction form
    370,814.63/794,117.25 = 794,117.25/x
  3. Step 3: Cross multiply
    370,814.63x = 794,117.25 × 794,117.25
  4. Step 4: Simplify right side
    370,814.63x = 630,622,206,747.56
  5. Step 5: Solve for x
    x = 630,622,206,747.56/370,814.63
  6. Step 6: Final answer
    x = 1,700,640.06

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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.