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Finding the Third Proportional to 370,621.83 and 812,160.42

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Solution

The third proportional to 370,621.83 and 812,160.42 is: 1,779,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,621.83 : 812,160.42 = 812,160.42 : x
  2. Step 2: Convert to fraction form
    370,621.83/812,160.42 = 812,160.42/x
  3. Step 3: Cross multiply
    370,621.83x = 812,160.42 × 812,160.42
  4. Step 4: Simplify right side
    370,621.83x = 659,604,550,860.18
  5. Step 5: Solve for x
    x = 659,604,550,860.18/370,621.83
  6. Step 6: Final answer
    x = 1,779,723.97

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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.