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Finding the Third Proportional to 212,907 and 465,664.50

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Solution

The third proportional to 212,907 and 465,664.50 is: 1,018,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,907 : 465,664.50 = 465,664.50 : x
  2. Step 2: Convert to fraction form
    212,907/465,664.50 = 465,664.50/x
  3. Step 3: Cross multiply
    212,907x = 465,664.50 × 465,664.50
  4. Step 4: Simplify right side
    212,907x = 216,843,426,560.25
  5. Step 5: Solve for x
    x = 216,843,426,560.25/212,907
  6. Step 6: Final answer
    x = 1,018,488.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.