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Finding the Third Proportional to 369,464 and 794,180

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Solution

The third proportional to 369,464 and 794,180 is: 1,707,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,464 : 794,180 = 794,180 : x
  2. Step 2: Convert to fraction form
    369,464/794,180 = 794,180/x
  3. Step 3: Cross multiply
    369,464x = 794,180 × 794,180
  4. Step 4: Simplify right side
    369,464x = 630,721,872,400
  5. Step 5: Solve for x
    x = 630,721,872,400/369,464
  6. Step 6: Final answer
    x = 1,707,126.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.