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Finding the Third Proportional to 670,735 and 984,718.50

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Solution

The third proportional to 670,735 and 984,718.50 is: 1,445,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,735 : 984,718.50 = 984,718.50 : x
  2. Step 2: Convert to fraction form
    670,735/984,718.50 = 984,718.50/x
  3. Step 3: Cross multiply
    670,735x = 984,718.50 × 984,718.50
  4. Step 4: Simplify right side
    670,735x = 969,670,524,242.25
  5. Step 5: Solve for x
    x = 969,670,524,242.25/670,735
  6. Step 6: Final answer
    x = 1,445,683.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.