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Finding the Third Proportional to 344,290.50 and 745,751.25

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Solution

The third proportional to 344,290.50 and 745,751.25 is: 1,615,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,290.50 : 745,751.25 = 745,751.25 : x
  2. Step 2: Convert to fraction form
    344,290.50/745,751.25 = 745,751.25/x
  3. Step 3: Cross multiply
    344,290.50x = 745,751.25 × 745,751.25
  4. Step 4: Simplify right side
    344,290.50x = 556,144,926,876.56
  5. Step 5: Solve for x
    x = 556,144,926,876.56/344,290.50
  6. Step 6: Final answer
    x = 1,615,336.25

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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.