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Finding the Third Proportional to 315,886 and 745,698

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Solution

The third proportional to 315,886 and 745,698 is: 1,760,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,886 : 745,698 = 745,698 : x
  2. Step 2: Convert to fraction form
    315,886/745,698 = 745,698/x
  3. Step 3: Cross multiply
    315,886x = 745,698 × 745,698
  4. Step 4: Simplify right side
    315,886x = 556,065,507,204
  5. Step 5: Solve for x
    x = 556,065,507,204/315,886
  6. Step 6: Final answer
    x = 1,760,336.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.