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Finding the Third Proportional to 490,852 and 754,216

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Solution

The third proportional to 490,852 and 754,216 is: 1,158,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,852 : 754,216 = 754,216 : x
  2. Step 2: Convert to fraction form
    490,852/754,216 = 754,216/x
  3. Step 3: Cross multiply
    490,852x = 754,216 × 754,216
  4. Step 4: Simplify right side
    490,852x = 568,841,774,656
  5. Step 5: Solve for x
    x = 568,841,774,656/490,852
  6. Step 6: Final answer
    x = 1,158,886.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.