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Finding the Third Proportional to 344,279.25 and 745,731

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Solution

The third proportional to 344,279.25 and 745,731 is: 1,615,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,279.25 : 745,731 = 745,731 : x
  2. Step 2: Convert to fraction form
    344,279.25/745,731 = 745,731/x
  3. Step 3: Cross multiply
    344,279.25x = 745,731 × 745,731
  4. Step 4: Simplify right side
    344,279.25x = 556,114,724,361
  5. Step 5: Solve for x
    x = 556,114,724,361/344,279.25
  6. Step 6: Final answer
    x = 1,615,301.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.