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Finding the Third Proportional to 563,508 and 873,900

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Solution

The third proportional to 563,508 and 873,900 is: 1,355,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,508 : 873,900 = 873,900 : x
  2. Step 2: Convert to fraction form
    563,508/873,900 = 873,900/x
  3. Step 3: Cross multiply
    563,508x = 873,900 × 873,900
  4. Step 4: Simplify right side
    563,508x = 763,701,210,000
  5. Step 5: Solve for x
    x = 763,701,210,000/563,508
  6. Step 6: Final answer
    x = 1,355,262.41

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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.