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Finding the Third Proportional to 509,192 and 748,884

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Solution

The third proportional to 509,192 and 748,884 is: 1,101,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,192 : 748,884 = 748,884 : x
  2. Step 2: Convert to fraction form
    509,192/748,884 = 748,884/x
  3. Step 3: Cross multiply
    509,192x = 748,884 × 748,884
  4. Step 4: Simplify right side
    509,192x = 560,827,245,456
  5. Step 5: Solve for x
    x = 560,827,245,456/509,192
  6. Step 6: Final answer
    x = 1,101,406.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.