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Finding the Third Proportional to 563,775 and 863,523

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Solution

The third proportional to 563,775 and 863,523 is: 1,322,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,775 : 863,523 = 863,523 : x
  2. Step 2: Convert to fraction form
    563,775/863,523 = 863,523/x
  3. Step 3: Cross multiply
    563,775x = 863,523 × 863,523
  4. Step 4: Simplify right side
    563,775x = 745,671,971,529
  5. Step 5: Solve for x
    x = 745,671,971,529/563,775
  6. Step 6: Final answer
    x = 1,322,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.