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Finding the Third Proportional to 336,712.50 and 732,336.75

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Solution

The third proportional to 336,712.50 and 732,336.75 is: 1,592,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,712.50 : 732,336.75 = 732,336.75 : x
  2. Step 2: Convert to fraction form
    336,712.50/732,336.75 = 732,336.75/x
  3. Step 3: Cross multiply
    336,712.50x = 732,336.75 × 732,336.75
  4. Step 4: Simplify right side
    336,712.50x = 536,317,115,400.56
  5. Step 5: Solve for x
    x = 536,317,115,400.56/336,712.50
  6. Step 6: Final answer
    x = 1,592,804.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.