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Finding the Third Proportional to 495,725.06 and 668,847.38

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Solution

The third proportional to 495,725.06 and 668,847.38 is: 902,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,725.06 : 668,847.38 = 668,847.38 : x
  2. Step 2: Convert to fraction form
    495,725.06/668,847.38 = 668,847.38/x
  3. Step 3: Cross multiply
    495,725.06x = 668,847.38 × 668,847.38
  4. Step 4: Simplify right side
    495,725.06x = 447,356,811,044.39
  5. Step 5: Solve for x
    x = 447,356,811,044.39/495,725.06
  6. Step 6: Final answer
    x = 902,429.28

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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.