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Finding the Third Proportional to 338,116 and 713,955

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Solution

The third proportional to 338,116 and 713,955 is: 1,507,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,116 : 713,955 = 713,955 : x
  2. Step 2: Convert to fraction form
    338,116/713,955 = 713,955/x
  3. Step 3: Cross multiply
    338,116x = 713,955 × 713,955
  4. Step 4: Simplify right side
    338,116x = 509,731,742,025
  5. Step 5: Solve for x
    x = 509,731,742,025/338,116
  6. Step 6: Final answer
    x = 1,507,564.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.