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Finding the Third Proportional to 288,211.50 and 460,424.25

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Solution

The third proportional to 288,211.50 and 460,424.25 is: 735,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,211.50 : 460,424.25 = 460,424.25 : x
  2. Step 2: Convert to fraction form
    288,211.50/460,424.25 = 460,424.25/x
  3. Step 3: Cross multiply
    288,211.50x = 460,424.25 × 460,424.25
  4. Step 4: Simplify right side
    288,211.50x = 211,990,489,988.06
  5. Step 5: Solve for x
    x = 211,990,489,988.06/288,211.50
  6. Step 6: Final answer
    x = 735,537.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.