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Finding the Third Proportional to 371,070 and 794,610

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Solution

The third proportional to 371,070 and 794,610 is: 1,701,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,070 : 794,610 = 794,610 : x
  2. Step 2: Convert to fraction form
    371,070/794,610 = 794,610/x
  3. Step 3: Cross multiply
    371,070x = 794,610 × 794,610
  4. Step 4: Simplify right side
    371,070x = 631,405,052,100
  5. Step 5: Solve for x
    x = 631,405,052,100/371,070
  6. Step 6: Final answer
    x = 1,701,579.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.