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Finding the Third Proportional to 623,907 and 948,991.50

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Solution

The third proportional to 623,907 and 948,991.50 is: 1,443,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,907 : 948,991.50 = 948,991.50 : x
  2. Step 2: Convert to fraction form
    623,907/948,991.50 = 948,991.50/x
  3. Step 3: Cross multiply
    623,907x = 948,991.50 × 948,991.50
  4. Step 4: Simplify right side
    623,907x = 900,584,867,072.25
  5. Step 5: Solve for x
    x = 900,584,867,072.25/623,907
  6. Step 6: Final answer
    x = 1,443,460.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.