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Finding the Third Proportional to 563,895.75 and 874,476.75

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Solution

The third proportional to 563,895.75 and 874,476.75 is: 1,356,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,895.75 : 874,476.75 = 874,476.75 : x
  2. Step 2: Convert to fraction form
    563,895.75/874,476.75 = 874,476.75/x
  3. Step 3: Cross multiply
    563,895.75x = 874,476.75 × 874,476.75
  4. Step 4: Simplify right side
    563,895.75x = 764,709,586,290.56
  5. Step 5: Solve for x
    x = 764,709,586,290.56/563,895.75
  6. Step 6: Final answer
    x = 1,356,118.73

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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.