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Finding the Third Proportional to 563,760 and 873,018

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Solution

The third proportional to 563,760 and 873,018 is: 1,351,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,760 : 873,018 = 873,018 : x
  2. Step 2: Convert to fraction form
    563,760/873,018 = 873,018/x
  3. Step 3: Cross multiply
    563,760x = 873,018 × 873,018
  4. Step 4: Simplify right side
    563,760x = 762,160,428,324
  5. Step 5: Solve for x
    x = 762,160,428,324/563,760
  6. Step 6: Final answer
    x = 1,351,923.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.