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Finding the Third Proportional to 366,960 and 788,176

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Solution

The third proportional to 366,960 and 788,176 is: 1,692,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 788,176 = 788,176 : x
  2. Step 2: Convert to fraction form
    366,960/788,176 = 788,176/x
  3. Step 3: Cross multiply
    366,960x = 788,176 × 788,176
  4. Step 4: Simplify right side
    366,960x = 621,221,406,976
  5. Step 5: Solve for x
    x = 621,221,406,976/366,960
  6. Step 6: Final answer
    x = 1,692,885.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.