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Finding the Third Proportional to 370,625.63 and 812,168.44

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Solution

The third proportional to 370,625.63 and 812,168.44 is: 1,779,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,625.63 : 812,168.44 = 812,168.44 : x
  2. Step 2: Convert to fraction form
    370,625.63/812,168.44 = 812,168.44/x
  3. Step 3: Cross multiply
    370,625.63x = 812,168.44 × 812,168.44
  4. Step 4: Simplify right side
    370,625.63x = 659,617,570,871.19
  5. Step 5: Solve for x
    x = 659,617,570,871.19/370,625.63
  6. Step 6: Final answer
    x = 1,779,740.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.