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Finding the Third Proportional to 230,925 and 503,646

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Solution

The third proportional to 230,925 and 503,646 is: 1,098,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,925 : 503,646 = 503,646 : x
  2. Step 2: Convert to fraction form
    230,925/503,646 = 503,646/x
  3. Step 3: Cross multiply
    230,925x = 503,646 × 503,646
  4. Step 4: Simplify right side
    230,925x = 253,659,293,316
  5. Step 5: Solve for x
    x = 253,659,293,316/230,925
  6. Step 6: Final answer
    x = 1,098,448.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.