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Finding the Third Proportional to 353,486 and 535,378

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Solution

The third proportional to 353,486 and 535,378 is: 810,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,486 : 535,378 = 535,378 : x
  2. Step 2: Convert to fraction form
    353,486/535,378 = 535,378/x
  3. Step 3: Cross multiply
    353,486x = 535,378 × 535,378
  4. Step 4: Simplify right side
    353,486x = 286,629,602,884
  5. Step 5: Solve for x
    x = 286,629,602,884/353,486
  6. Step 6: Final answer
    x = 810,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.