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Finding the Third Proportional to 366,952 and 788,156

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Solution

The third proportional to 366,952 and 788,156 is: 1,692,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952 : 788,156 = 788,156 : x
  2. Step 2: Convert to fraction form
    366,952/788,156 = 788,156/x
  3. Step 3: Cross multiply
    366,952x = 788,156 × 788,156
  4. Step 4: Simplify right side
    366,952x = 621,189,880,336
  5. Step 5: Solve for x
    x = 621,189,880,336/366,952
  6. Step 6: Final answer
    x = 1,692,836.88

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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.