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Finding the Third Proportional to 310,066 and 465,099

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Solution

The third proportional to 310,066 and 465,099 is: 697,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,066 : 465,099 = 465,099 : x
  2. Step 2: Convert to fraction form
    310,066/465,099 = 465,099/x
  3. Step 3: Cross multiply
    310,066x = 465,099 × 465,099
  4. Step 4: Simplify right side
    310,066x = 216,317,079,801
  5. Step 5: Solve for x
    x = 216,317,079,801/310,066
  6. Step 6: Final answer
    x = 697,648.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.