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Finding the Third Proportional to 344,090 and 740,911

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Solution

The third proportional to 344,090 and 740,911 is: 1,595,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,090 : 740,911 = 740,911 : x
  2. Step 2: Convert to fraction form
    344,090/740,911 = 740,911/x
  3. Step 3: Cross multiply
    344,090x = 740,911 × 740,911
  4. Step 4: Simplify right side
    344,090x = 548,949,109,921
  5. Step 5: Solve for x
    x = 548,949,109,921/344,090
  6. Step 6: Final answer
    x = 1,595,364.90

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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.