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Finding the Third Proportional to 340,248 and 794,724

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Solution

The third proportional to 340,248 and 794,724 is: 1,856,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,248 : 794,724 = 794,724 : x
  2. Step 2: Convert to fraction form
    340,248/794,724 = 794,724/x
  3. Step 3: Cross multiply
    340,248x = 794,724 × 794,724
  4. Step 4: Simplify right side
    340,248x = 631,586,236,176
  5. Step 5: Solve for x
    x = 631,586,236,176/340,248
  6. Step 6: Final answer
    x = 1,856,252.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.