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Finding the Third Proportional to 344,112 and 740,951

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Solution

The third proportional to 344,112 and 740,951 is: 1,595,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,112 : 740,951 = 740,951 : x
  2. Step 2: Convert to fraction form
    344,112/740,951 = 740,951/x
  3. Step 3: Cross multiply
    344,112x = 740,951 × 740,951
  4. Step 4: Simplify right side
    344,112x = 549,008,384,401
  5. Step 5: Solve for x
    x = 549,008,384,401/344,112
  6. Step 6: Final answer
    x = 1,595,435.16

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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.