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Finding the Third Proportional to 563,966 and 873,813

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Solution

The third proportional to 563,966 and 873,813 is: 1,353,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,966 : 873,813 = 873,813 : x
  2. Step 2: Convert to fraction form
    563,966/873,813 = 873,813/x
  3. Step 3: Cross multiply
    563,966x = 873,813 × 873,813
  4. Step 4: Simplify right side
    563,966x = 763,549,158,969
  5. Step 5: Solve for x
    x = 763,549,158,969/563,966
  6. Step 6: Final answer
    x = 1,353,892.18

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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.