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Finding the Third Proportional to 353,085 and 772,188

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Solution

The third proportional to 353,085 and 772,188 is: 1,688,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,085 : 772,188 = 772,188 : x
  2. Step 2: Convert to fraction form
    353,085/772,188 = 772,188/x
  3. Step 3: Cross multiply
    353,085x = 772,188 × 772,188
  4. Step 4: Simplify right side
    353,085x = 596,274,307,344
  5. Step 5: Solve for x
    x = 596,274,307,344/353,085
  6. Step 6: Final answer
    x = 1,688,755.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.