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Finding the Third Proportional to 285,066 and 623,079

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Solution

The third proportional to 285,066 and 623,079 is: 1,361,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,066 : 623,079 = 623,079 : x
  2. Step 2: Convert to fraction form
    285,066/623,079 = 623,079/x
  3. Step 3: Cross multiply
    285,066x = 623,079 × 623,079
  4. Step 4: Simplify right side
    285,066x = 388,227,440,241
  5. Step 5: Solve for x
    x = 388,227,440,241/285,066
  6. Step 6: Final answer
    x = 1,361,886.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.