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Finding the Third Proportional to 572,872.50 and 1,192,816.13

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Solution

The third proportional to 572,872.50 and 1,192,816.13 is: 2,483,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,872.50 : 1,192,816.13 = 1,192,816.13 : x
  2. Step 2: Convert to fraction form
    572,872.50/1,192,816.13 = 1,192,816.13/x
  3. Step 3: Cross multiply
    572,872.50x = 1,192,816.13 × 1,192,816.13
  4. Step 4: Simplify right side
    572,872.50x = 1,422,810,308,060.02
  5. Step 5: Solve for x
    x = 1,422,810,308,060.02/572,872.50
  6. Step 6: Final answer
    x = 2,483,642.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.