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Finding the Third Proportional to 283,569 and 623,046

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Solution

The third proportional to 283,569 and 623,046 is: 1,368,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,569 : 623,046 = 623,046 : x
  2. Step 2: Convert to fraction form
    283,569/623,046 = 623,046/x
  3. Step 3: Cross multiply
    283,569x = 623,046 × 623,046
  4. Step 4: Simplify right side
    283,569x = 388,186,318,116
  5. Step 5: Solve for x
    x = 388,186,318,116/283,569
  6. Step 6: Final answer
    x = 1,368,930.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.