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Finding the Third Proportional to 349,153 and 749,978

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Solution

The third proportional to 349,153 and 749,978 is: 1,610,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,153 : 749,978 = 749,978 : x
  2. Step 2: Convert to fraction form
    349,153/749,978 = 749,978/x
  3. Step 3: Cross multiply
    349,153x = 749,978 × 749,978
  4. Step 4: Simplify right side
    349,153x = 562,467,000,484
  5. Step 5: Solve for x
    x = 562,467,000,484/349,153
  6. Step 6: Final answer
    x = 1,610,947.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.