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Finding the Third Proportional to 370,624 and 812,165

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Solution

The third proportional to 370,624 and 812,165 is: 1,779,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,624 : 812,165 = 812,165 : x
  2. Step 2: Convert to fraction form
    370,624/812,165 = 812,165/x
  3. Step 3: Cross multiply
    370,624x = 812,165 × 812,165
  4. Step 4: Simplify right side
    370,624x = 659,611,987,225
  5. Step 5: Solve for x
    x = 659,611,987,225/370,624
  6. Step 6: Final answer
    x = 1,779,733.60

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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.