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Finding the Third Proportional to 345,316.50 and 749,682

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Solution

The third proportional to 345,316.50 and 749,682 is: 1,627,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,316.50 : 749,682 = 749,682 : x
  2. Step 2: Convert to fraction form
    345,316.50/749,682 = 749,682/x
  3. Step 3: Cross multiply
    345,316.50x = 749,682 × 749,682
  4. Step 4: Simplify right side
    345,316.50x = 562,023,101,124
  5. Step 5: Solve for x
    x = 562,023,101,124/345,316.50
  6. Step 6: Final answer
    x = 1,627,559.36

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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.