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Finding the Third Proportional to 212,907.75 and 463,614.75

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Solution

The third proportional to 212,907.75 and 463,614.75 is: 1,009,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,907.75 : 463,614.75 = 463,614.75 : x
  2. Step 2: Convert to fraction form
    212,907.75/463,614.75 = 463,614.75/x
  3. Step 3: Cross multiply
    212,907.75x = 463,614.75 × 463,614.75
  4. Step 4: Simplify right side
    212,907.75x = 214,938,636,417.56
  5. Step 5: Solve for x
    x = 214,938,636,417.56/212,907.75
  6. Step 6: Final answer
    x = 1,009,538.81

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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.