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Finding the Third Proportional to 495,724.50 and 668,847

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Solution

The third proportional to 495,724.50 and 668,847 is: 902,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,724.50 : 668,847 = 668,847 : x
  2. Step 2: Convert to fraction form
    495,724.50/668,847 = 668,847/x
  3. Step 3: Cross multiply
    495,724.50x = 668,847 × 668,847
  4. Step 4: Simplify right side
    495,724.50x = 447,356,309,409
  5. Step 5: Solve for x
    x = 447,356,309,409/495,724.50
  6. Step 6: Final answer
    x = 902,429.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.