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Finding the Third Proportional to 370,699 and 810,014

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Solution

The third proportional to 370,699 and 810,014 is: 1,769,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,699 : 810,014 = 810,014 : x
  2. Step 2: Convert to fraction form
    370,699/810,014 = 810,014/x
  3. Step 3: Cross multiply
    370,699x = 810,014 × 810,014
  4. Step 4: Simplify right side
    370,699x = 656,122,680,196
  5. Step 5: Solve for x
    x = 656,122,680,196/370,699
  6. Step 6: Final answer
    x = 1,769,960.75

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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.