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Finding the Third Proportional to 563,841 and 874,395

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Solution

The third proportional to 563,841 and 874,395 is: 1,355,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,841 : 874,395 = 874,395 : x
  2. Step 2: Convert to fraction form
    563,841/874,395 = 874,395/x
  3. Step 3: Cross multiply
    563,841x = 874,395 × 874,395
  4. Step 4: Simplify right side
    563,841x = 764,566,616,025
  5. Step 5: Solve for x
    x = 764,566,616,025/563,841
  6. Step 6: Final answer
    x = 1,355,996.84

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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.