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Finding the Third Proportional to 563,821.75 and 874,373

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Solution

The third proportional to 563,821.75 and 874,373 is: 1,355,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,821.75 : 874,373 = 874,373 : x
  2. Step 2: Convert to fraction form
    563,821.75/874,373 = 874,373/x
  3. Step 3: Cross multiply
    563,821.75x = 874,373 × 874,373
  4. Step 4: Simplify right side
    563,821.75x = 764,528,143,129
  5. Step 5: Solve for x
    x = 764,528,143,129/563,821.75
  6. Step 6: Final answer
    x = 1,355,974.90

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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.