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Finding the Third Proportional to 368,072 and 794,140

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Solution

The third proportional to 368,072 and 794,140 is: 1,713,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,072 : 794,140 = 794,140 : x
  2. Step 2: Convert to fraction form
    368,072/794,140 = 794,140/x
  3. Step 3: Cross multiply
    368,072x = 794,140 × 794,140
  4. Step 4: Simplify right side
    368,072x = 630,658,339,600
  5. Step 5: Solve for x
    x = 630,658,339,600/368,072
  6. Step 6: Final answer
    x = 1,713,410.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.