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Finding the Third Proportional to 210,559.50 and 456,589

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Solution

The third proportional to 210,559.50 and 456,589 is: 990,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,559.50 : 456,589 = 456,589 : x
  2. Step 2: Convert to fraction form
    210,559.50/456,589 = 456,589/x
  3. Step 3: Cross multiply
    210,559.50x = 456,589 × 456,589
  4. Step 4: Simplify right side
    210,559.50x = 208,473,514,921
  5. Step 5: Solve for x
    x = 208,473,514,921/210,559.50
  6. Step 6: Final answer
    x = 990,093.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.