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Finding the Third Proportional to 234,148 and 503,810

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Solution

The third proportional to 234,148 and 503,810 is: 1,084,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,148 : 503,810 = 503,810 : x
  2. Step 2: Convert to fraction form
    234,148/503,810 = 503,810/x
  3. Step 3: Cross multiply
    234,148x = 503,810 × 503,810
  4. Step 4: Simplify right side
    234,148x = 253,824,516,100
  5. Step 5: Solve for x
    x = 253,824,516,100/234,148
  6. Step 6: Final answer
    x = 1,084,034.53

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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.