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Finding the Third Proportional to 351,360 and 772,696

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Solution

The third proportional to 351,360 and 772,696 is: 1,699,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,360 : 772,696 = 772,696 : x
  2. Step 2: Convert to fraction form
    351,360/772,696 = 772,696/x
  3. Step 3: Cross multiply
    351,360x = 772,696 × 772,696
  4. Step 4: Simplify right side
    351,360x = 597,059,108,416
  5. Step 5: Solve for x
    x = 597,059,108,416/351,360
  6. Step 6: Final answer
    x = 1,699,280.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.