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Finding the Third Proportional to 371,580 and 791,112

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Solution

The third proportional to 371,580 and 791,112 is: 1,684,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,580 : 791,112 = 791,112 : x
  2. Step 2: Convert to fraction form
    371,580/791,112 = 791,112/x
  3. Step 3: Cross multiply
    371,580x = 791,112 × 791,112
  4. Step 4: Simplify right side
    371,580x = 625,858,196,544
  5. Step 5: Solve for x
    x = 625,858,196,544/371,580
  6. Step 6: Final answer
    x = 1,684,316.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.