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Finding the Third Proportional to 366,360 and 772,080

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Solution

The third proportional to 366,360 and 772,080 is: 1,627,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,360 : 772,080 = 772,080 : x
  2. Step 2: Convert to fraction form
    366,360/772,080 = 772,080/x
  3. Step 3: Cross multiply
    366,360x = 772,080 × 772,080
  4. Step 4: Simplify right side
    366,360x = 596,107,526,400
  5. Step 5: Solve for x
    x = 596,107,526,400/366,360
  6. Step 6: Final answer
    x = 1,627,108.65

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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.