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Finding the Third Proportional to 289,683.75 and 424,155.75

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Solution

The third proportional to 289,683.75 and 424,155.75 is: 621,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,683.75 : 424,155.75 = 424,155.75 : x
  2. Step 2: Convert to fraction form
    289,683.75/424,155.75 = 424,155.75/x
  3. Step 3: Cross multiply
    289,683.75x = 424,155.75 × 424,155.75
  4. Step 4: Simplify right side
    289,683.75x = 179,908,100,258.06
  5. Step 5: Solve for x
    x = 179,908,100,258.06/289,683.75
  6. Step 6: Final answer
    x = 621,050.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.