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Finding the Third Proportional to 248,243 and 530,374

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Solution

The third proportional to 248,243 and 530,374 is: 1,133,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,243 : 530,374 = 530,374 : x
  2. Step 2: Convert to fraction form
    248,243/530,374 = 530,374/x
  3. Step 3: Cross multiply
    248,243x = 530,374 × 530,374
  4. Step 4: Simplify right side
    248,243x = 281,296,579,876
  5. Step 5: Solve for x
    x = 281,296,579,876/248,243
  6. Step 6: Final answer
    x = 1,133,150.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.