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Finding the Third Proportional to 207,438.19 and 313,065.28

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Solution

The third proportional to 207,438.19 and 313,065.28 is: 472,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,438.19 : 313,065.28 = 313,065.28 : x
  2. Step 2: Convert to fraction form
    207,438.19/313,065.28 = 313,065.28/x
  3. Step 3: Cross multiply
    207,438.19x = 313,065.28 × 313,065.28
  4. Step 4: Simplify right side
    207,438.19x = 98,009,870,324.14
  5. Step 5: Solve for x
    x = 98,009,870,324.14/207,438.19
  6. Step 6: Final answer
    x = 472,477.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.