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Finding the Third Proportional to 563,967 and 873,684

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Solution

The third proportional to 563,967 and 873,684 is: 1,353,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,967 : 873,684 = 873,684 : x
  2. Step 2: Convert to fraction form
    563,967/873,684 = 873,684/x
  3. Step 3: Cross multiply
    563,967x = 873,684 × 873,684
  4. Step 4: Simplify right side
    563,967x = 763,323,731,856
  5. Step 5: Solve for x
    x = 763,323,731,856/563,967
  6. Step 6: Final answer
    x = 1,353,490.07

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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.