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Finding the Third Proportional to 492,900.75 and 719,955

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Solution

The third proportional to 492,900.75 and 719,955 is: 1,051,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,900.75 : 719,955 = 719,955 : x
  2. Step 2: Convert to fraction form
    492,900.75/719,955 = 719,955/x
  3. Step 3: Cross multiply
    492,900.75x = 719,955 × 719,955
  4. Step 4: Simplify right side
    492,900.75x = 518,335,202,025
  5. Step 5: Solve for x
    x = 518,335,202,025/492,900.75
  6. Step 6: Final answer
    x = 1,051,601.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.