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Finding the Third Proportional to 345,447 and 749,900.25

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Solution

The third proportional to 345,447 and 749,900.25 is: 1,627,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,447 : 749,900.25 = 749,900.25 : x
  2. Step 2: Convert to fraction form
    345,447/749,900.25 = 749,900.25/x
  3. Step 3: Cross multiply
    345,447x = 749,900.25 × 749,900.25
  4. Step 4: Simplify right side
    345,447x = 562,350,384,950.06
  5. Step 5: Solve for x
    x = 562,350,384,950.06/345,447
  6. Step 6: Final answer
    x = 1,627,891.93

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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.