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Finding the Third Proportional to 364,639 and 795,068

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Solution

The third proportional to 364,639 and 795,068 is: 1,733,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,639 : 795,068 = 795,068 : x
  2. Step 2: Convert to fraction form
    364,639/795,068 = 795,068/x
  3. Step 3: Cross multiply
    364,639x = 795,068 × 795,068
  4. Step 4: Simplify right side
    364,639x = 632,133,124,624
  5. Step 5: Solve for x
    x = 632,133,124,624/364,639
  6. Step 6: Final answer
    x = 1,733,586.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.