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Finding the Third Proportional to 370,101 and 792,649.50

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Solution

The third proportional to 370,101 and 792,649.50 is: 1,697,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,101 : 792,649.50 = 792,649.50 : x
  2. Step 2: Convert to fraction form
    370,101/792,649.50 = 792,649.50/x
  3. Step 3: Cross multiply
    370,101x = 792,649.50 × 792,649.50
  4. Step 4: Simplify right side
    370,101x = 628,293,229,850.25
  5. Step 5: Solve for x
    x = 628,293,229,850.25/370,101
  6. Step 6: Final answer
    x = 1,697,626.40

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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.