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Finding the Third Proportional to 490,732 and 719,896

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Solution

The third proportional to 490,732 and 719,896 is: 1,056,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,732 : 719,896 = 719,896 : x
  2. Step 2: Convert to fraction form
    490,732/719,896 = 719,896/x
  3. Step 3: Cross multiply
    490,732x = 719,896 × 719,896
  4. Step 4: Simplify right side
    490,732x = 518,250,250,816
  5. Step 5: Solve for x
    x = 518,250,250,816/490,732
  6. Step 6: Final answer
    x = 1,056,075.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.