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Finding the Third Proportional to 713,740.50 and 1,684,280.25

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Solution

The third proportional to 713,740.50 and 1,684,280.25 is: 3,974,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,740.50 : 1,684,280.25 = 1,684,280.25 : x
  2. Step 2: Convert to fraction form
    713,740.50/1,684,280.25 = 1,684,280.25/x
  3. Step 3: Cross multiply
    713,740.50x = 1,684,280.25 × 1,684,280.25
  4. Step 4: Simplify right side
    713,740.50x = 2,836,799,960,540.06
  5. Step 5: Solve for x
    x = 2,836,799,960,540.06/713,740.50
  6. Step 6: Final answer
    x = 3,974,553.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.