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Finding the Third Proportional to 623,709 and 948,685.50

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Solution

The third proportional to 623,709 and 948,685.50 is: 1,442,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,709 : 948,685.50 = 948,685.50 : x
  2. Step 2: Convert to fraction form
    623,709/948,685.50 = 948,685.50/x
  3. Step 3: Cross multiply
    623,709x = 948,685.50 × 948,685.50
  4. Step 4: Simplify right side
    623,709x = 900,004,177,910.25
  5. Step 5: Solve for x
    x = 900,004,177,910.25/623,709
  6. Step 6: Final answer
    x = 1,442,987.32

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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.