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Finding the Third Proportional to 344,160 and 741,054

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Solution

The third proportional to 344,160 and 741,054 is: 1,595,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,160 : 741,054 = 741,054 : x
  2. Step 2: Convert to fraction form
    344,160/741,054 = 741,054/x
  3. Step 3: Cross multiply
    344,160x = 741,054 × 741,054
  4. Step 4: Simplify right side
    344,160x = 549,161,030,916
  5. Step 5: Solve for x
    x = 549,161,030,916/344,160
  6. Step 6: Final answer
    x = 1,595,656.18

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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.