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Finding the Third Proportional to 297,758.25 and 702,795.94

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Solution

The third proportional to 297,758.25 and 702,795.94 is: 1,658,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,758.25 : 702,795.94 = 702,795.94 : x
  2. Step 2: Convert to fraction form
    297,758.25/702,795.94 = 702,795.94/x
  3. Step 3: Cross multiply
    297,758.25x = 702,795.94 × 702,795.94
  4. Step 4: Simplify right side
    297,758.25x = 493,922,129,766.50
  5. Step 5: Solve for x
    x = 493,922,129,766.50/297,758.25
  6. Step 6: Final answer
    x = 1,658,802.50

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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.