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Finding the Third Proportional to 572,022 and 873,423

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Solution

The third proportional to 572,022 and 873,423 is: 1,333,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,022 : 873,423 = 873,423 : x
  2. Step 2: Convert to fraction form
    572,022/873,423 = 873,423/x
  3. Step 3: Cross multiply
    572,022x = 873,423 × 873,423
  4. Step 4: Simplify right side
    572,022x = 762,867,736,929
  5. Step 5: Solve for x
    x = 762,867,736,929/572,022
  6. Step 6: Final answer
    x = 1,333,633.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.