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Finding the Third Proportional to 344,254.50 and 745,710.75

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Solution

The third proportional to 344,254.50 and 745,710.75 is: 1,615,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,254.50 : 745,710.75 = 745,710.75 : x
  2. Step 2: Convert to fraction form
    344,254.50/745,710.75 = 745,710.75/x
  3. Step 3: Cross multiply
    344,254.50x = 745,710.75 × 745,710.75
  4. Step 4: Simplify right side
    344,254.50x = 556,084,522,665.56
  5. Step 5: Solve for x
    x = 556,084,522,665.56/344,254.50
  6. Step 6: Final answer
    x = 1,615,329.71

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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.