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Finding the Third Proportional to 296,773.50 and 460,219.50

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Solution

The third proportional to 296,773.50 and 460,219.50 is: 713,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,773.50 : 460,219.50 = 460,219.50 : x
  2. Step 2: Convert to fraction form
    296,773.50/460,219.50 = 460,219.50/x
  3. Step 3: Cross multiply
    296,773.50x = 460,219.50 × 460,219.50
  4. Step 4: Simplify right side
    296,773.50x = 211,801,988,180.25
  5. Step 5: Solve for x
    x = 211,801,988,180.25/296,773.50
  6. Step 6: Final answer
    x = 713,682.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.