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Finding the Third Proportional to 344,116 and 740,972

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Solution

The third proportional to 344,116 and 740,972 is: 1,595,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,116 : 740,972 = 740,972 : x
  2. Step 2: Convert to fraction form
    344,116/740,972 = 740,972/x
  3. Step 3: Cross multiply
    344,116x = 740,972 × 740,972
  4. Step 4: Simplify right side
    344,116x = 549,039,504,784
  5. Step 5: Solve for x
    x = 549,039,504,784/344,116
  6. Step 6: Final answer
    x = 1,595,507.05

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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.