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Finding the Third Proportional to 332,871 and 728,017.50

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Solution

The third proportional to 332,871 and 728,017.50 is: 1,592,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,871 : 728,017.50 = 728,017.50 : x
  2. Step 2: Convert to fraction form
    332,871/728,017.50 = 728,017.50/x
  3. Step 3: Cross multiply
    332,871x = 728,017.50 × 728,017.50
  4. Step 4: Simplify right side
    332,871x = 530,009,480,306.25
  5. Step 5: Solve for x
    x = 530,009,480,306.25/332,871
  6. Step 6: Final answer
    x = 1,592,236.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.