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Finding the Third Proportional to 344,200 and 745,596

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Solution

The third proportional to 344,200 and 745,596 is: 1,615,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,200 : 745,596 = 745,596 : x
  2. Step 2: Convert to fraction form
    344,200/745,596 = 745,596/x
  3. Step 3: Cross multiply
    344,200x = 745,596 × 745,596
  4. Step 4: Simplify right side
    344,200x = 555,913,395,216
  5. Step 5: Solve for x
    x = 555,913,395,216/344,200
  6. Step 6: Final answer
    x = 1,615,088.31

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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.