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Finding the Third Proportional to 235,114 and 554,924

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Solution

The third proportional to 235,114 and 554,924 is: 1,309,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114 : 554,924 = 554,924 : x
  2. Step 2: Convert to fraction form
    235,114/554,924 = 554,924/x
  3. Step 3: Cross multiply
    235,114x = 554,924 × 554,924
  4. Step 4: Simplify right side
    235,114x = 307,940,645,776
  5. Step 5: Solve for x
    x = 307,940,645,776/235,114
  6. Step 6: Final answer
    x = 1,309,750.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.