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Finding the Third Proportional to 288,969.75 and 460,209.75

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Solution

The third proportional to 288,969.75 and 460,209.75 is: 732,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,969.75 : 460,209.75 = 460,209.75 : x
  2. Step 2: Convert to fraction form
    288,969.75/460,209.75 = 460,209.75/x
  3. Step 3: Cross multiply
    288,969.75x = 460,209.75 × 460,209.75
  4. Step 4: Simplify right side
    288,969.75x = 211,793,013,995.06
  5. Step 5: Solve for x
    x = 211,793,013,995.06/288,969.75
  6. Step 6: Final answer
    x = 732,924.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.