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Finding the Third Proportional to 349,866 and 734,980.50

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Solution

The third proportional to 349,866 and 734,980.50 is: 1,544,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,866 : 734,980.50 = 734,980.50 : x
  2. Step 2: Convert to fraction form
    349,866/734,980.50 = 734,980.50/x
  3. Step 3: Cross multiply
    349,866x = 734,980.50 × 734,980.50
  4. Step 4: Simplify right side
    349,866x = 540,196,335,380.25
  5. Step 5: Solve for x
    x = 540,196,335,380.25/349,866
  6. Step 6: Final answer
    x = 1,544,009.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.