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Finding the Third Proportional to 370,932 and 794,340

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Solution

The third proportional to 370,932 and 794,340 is: 1,701,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,932 : 794,340 = 794,340 : x
  2. Step 2: Convert to fraction form
    370,932/794,340 = 794,340/x
  3. Step 3: Cross multiply
    370,932x = 794,340 × 794,340
  4. Step 4: Simplify right side
    370,932x = 630,976,035,600
  5. Step 5: Solve for x
    x = 630,976,035,600/370,932
  6. Step 6: Final answer
    x = 1,701,055.82

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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.