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Finding the Third Proportional to 230,464 and 503,712

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Solution

The third proportional to 230,464 and 503,712 is: 1,100,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,464 : 503,712 = 503,712 : x
  2. Step 2: Convert to fraction form
    230,464/503,712 = 503,712/x
  3. Step 3: Cross multiply
    230,464x = 503,712 × 503,712
  4. Step 4: Simplify right side
    230,464x = 253,725,778,944
  5. Step 5: Solve for x
    x = 253,725,778,944/230,464
  6. Step 6: Final answer
    x = 1,100,934.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.