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Finding the Third Proportional to 336,963.38 and 732,975.75

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Solution

The third proportional to 336,963.38 and 732,975.75 is: 1,594,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,963.38 : 732,975.75 = 732,975.75 : x
  2. Step 2: Convert to fraction form
    336,963.38/732,975.75 = 732,975.75/x
  3. Step 3: Cross multiply
    336,963.38x = 732,975.75 × 732,975.75
  4. Step 4: Simplify right side
    336,963.38x = 537,253,450,088.06
  5. Step 5: Solve for x
    x = 537,253,450,088.06/336,963.38
  6. Step 6: Final answer
    x = 1,594,397.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.