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Finding the Third Proportional to 524,642.50 and 1,129,553

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Solution

The third proportional to 524,642.50 and 1,129,553 is: 2,431,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,642.50 : 1,129,553 = 1,129,553 : x
  2. Step 2: Convert to fraction form
    524,642.50/1,129,553 = 1,129,553/x
  3. Step 3: Cross multiply
    524,642.50x = 1,129,553 × 1,129,553
  4. Step 4: Simplify right side
    524,642.50x = 1,275,889,979,809
  5. Step 5: Solve for x
    x = 1,275,889,979,809/524,642.50
  6. Step 6: Final answer
    x = 2,431,922.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.