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Finding the Third Proportional to 647,387 and 980,073.50

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Solution

The third proportional to 647,387 and 980,073.50 is: 1,483,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,387 : 980,073.50 = 980,073.50 : x
  2. Step 2: Convert to fraction form
    647,387/980,073.50 = 980,073.50/x
  3. Step 3: Cross multiply
    647,387x = 980,073.50 × 980,073.50
  4. Step 4: Simplify right side
    647,387x = 960,544,065,402.25
  5. Step 5: Solve for x
    x = 960,544,065,402.25/647,387
  6. Step 6: Final answer
    x = 1,483,724.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.