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Finding the Third Proportional to 563,876.50 and 1,315,757

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Solution

The third proportional to 563,876.50 and 1,315,757 is: 3,070,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,876.50 : 1,315,757 = 1,315,757 : x
  2. Step 2: Convert to fraction form
    563,876.50/1,315,757 = 1,315,757/x
  3. Step 3: Cross multiply
    563,876.50x = 1,315,757 × 1,315,757
  4. Step 4: Simplify right side
    563,876.50x = 1,731,216,483,049
  5. Step 5: Solve for x
    x = 1,731,216,483,049/563,876.50
  6. Step 6: Final answer
    x = 3,070,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.