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Finding the Third Proportional to 563,137.88 and 871,710.75

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Solution

The third proportional to 563,137.88 and 871,710.75 is: 1,349,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,137.88 : 871,710.75 = 871,710.75 : x
  2. Step 2: Convert to fraction form
    563,137.88/871,710.75 = 871,710.75/x
  3. Step 3: Cross multiply
    563,137.88x = 871,710.75 × 871,710.75
  4. Step 4: Simplify right side
    563,137.88x = 759,879,631,665.56
  5. Step 5: Solve for x
    x = 759,879,631,665.56/563,137.88
  6. Step 6: Final answer
    x = 1,349,366.94

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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.