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Finding the Third Proportional to 344,202 and 745,600

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Solution

The third proportional to 344,202 and 745,600 is: 1,615,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,202 : 745,600 = 745,600 : x
  2. Step 2: Convert to fraction form
    344,202/745,600 = 745,600/x
  3. Step 3: Cross multiply
    344,202x = 745,600 × 745,600
  4. Step 4: Simplify right side
    344,202x = 555,919,360,000
  5. Step 5: Solve for x
    x = 555,919,360,000/344,202
  6. Step 6: Final answer
    x = 1,615,096.25

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