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Finding the Third Proportional to 305,683 and 719,258.50

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Solution

The third proportional to 305,683 and 719,258.50 is: 1,692,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,683 : 719,258.50 = 719,258.50 : x
  2. Step 2: Convert to fraction form
    305,683/719,258.50 = 719,258.50/x
  3. Step 3: Cross multiply
    305,683x = 719,258.50 × 719,258.50
  4. Step 4: Simplify right side
    305,683x = 517,332,789,822.25
  5. Step 5: Solve for x
    x = 517,332,789,822.25/305,683
  6. Step 6: Final answer
    x = 1,692,383.25

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.