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Finding the Third Proportional to 370,122 and 792,804

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Solution

The third proportional to 370,122 and 792,804 is: 1,698,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,122 : 792,804 = 792,804 : x
  2. Step 2: Convert to fraction form
    370,122/792,804 = 792,804/x
  3. Step 3: Cross multiply
    370,122x = 792,804 × 792,804
  4. Step 4: Simplify right side
    370,122x = 628,538,182,416
  5. Step 5: Solve for x
    x = 628,538,182,416/370,122
  6. Step 6: Final answer
    x = 1,698,191.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.