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Finding the Third Proportional to 336,967.88 and 732,981.38

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Solution

The third proportional to 336,967.88 and 732,981.38 is: 1,594,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,967.88 : 732,981.38 = 732,981.38 : x
  2. Step 2: Convert to fraction form
    336,967.88/732,981.38 = 732,981.38/x
  3. Step 3: Cross multiply
    336,967.88x = 732,981.38 × 732,981.38
  4. Step 4: Simplify right side
    336,967.88x = 537,261,696,096.89
  5. Step 5: Solve for x
    x = 537,261,696,096.89/336,967.88
  6. Step 6: Final answer
    x = 1,594,400.34

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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.