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Finding the Third Proportional to 370,624.50 and 812,165.63

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Solution

The third proportional to 370,624.50 and 812,165.63 is: 1,779,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,624.50 : 812,165.63 = 812,165.63 : x
  2. Step 2: Convert to fraction form
    370,624.50/812,165.63 = 812,165.63/x
  3. Step 3: Cross multiply
    370,624.50x = 812,165.63 × 812,165.63
  4. Step 4: Simplify right side
    370,624.50x = 659,613,002,431.64
  5. Step 5: Solve for x
    x = 659,613,002,431.64/370,624.50
  6. Step 6: Final answer
    x = 1,779,733.94

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