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Finding the Third Proportional to 366,368 and 772,096

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Solution

The third proportional to 366,368 and 772,096 is: 1,627,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,368 : 772,096 = 772,096 : x
  2. Step 2: Convert to fraction form
    366,368/772,096 = 772,096/x
  3. Step 3: Cross multiply
    366,368x = 772,096 × 772,096
  4. Step 4: Simplify right side
    366,368x = 596,132,233,216
  5. Step 5: Solve for x
    x = 596,132,233,216/366,368
  6. Step 6: Final answer
    x = 1,627,140.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.