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Finding the Third Proportional to 623,709 and 965,371.50

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Solution

The third proportional to 623,709 and 965,371.50 is: 1,494,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,709 : 965,371.50 = 965,371.50 : x
  2. Step 2: Convert to fraction form
    623,709/965,371.50 = 965,371.50/x
  3. Step 3: Cross multiply
    623,709x = 965,371.50 × 965,371.50
  4. Step 4: Simplify right side
    623,709x = 931,942,133,012.25
  5. Step 5: Solve for x
    x = 931,942,133,012.25/623,709
  6. Step 6: Final answer
    x = 1,494,193.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.