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Finding the Third Proportional to 302,650.50 and 424,155.75

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Solution

The third proportional to 302,650.50 and 424,155.75 is: 594,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,650.50 : 424,155.75 = 424,155.75 : x
  2. Step 2: Convert to fraction form
    302,650.50/424,155.75 = 424,155.75/x
  3. Step 3: Cross multiply
    302,650.50x = 424,155.75 × 424,155.75
  4. Step 4: Simplify right side
    302,650.50x = 179,908,100,258.06
  5. Step 5: Solve for x
    x = 179,908,100,258.06/302,650.50
  6. Step 6: Final answer
    x = 594,441.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.