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Finding the Third Proportional to 338,088.09 and 713,901.94

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Solution

The third proportional to 338,088.09 and 713,901.94 is: 1,507,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,088.09 : 713,901.94 = 713,901.94 : x
  2. Step 2: Convert to fraction form
    338,088.09/713,901.94 = 713,901.94/x
  3. Step 3: Cross multiply
    338,088.09x = 713,901.94 × 713,901.94
  4. Step 4: Simplify right side
    338,088.09x = 509,655,976,366.25
  5. Step 5: Solve for x
    x = 509,655,976,366.25/338,088.09
  6. Step 6: Final answer
    x = 1,507,465.02

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