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Finding the Third Proportional to 288,206 and 460,415.50

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Solution

The third proportional to 288,206 and 460,415.50 is: 735,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,206 : 460,415.50 = 460,415.50 : x
  2. Step 2: Convert to fraction form
    288,206/460,415.50 = 460,415.50/x
  3. Step 3: Cross multiply
    288,206x = 460,415.50 × 460,415.50
  4. Step 4: Simplify right side
    288,206x = 211,982,432,640.25
  5. Step 5: Solve for x
    x = 211,982,432,640.25/288,206
  6. Step 6: Final answer
    x = 735,524.01

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Why These Related Problems?

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