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Finding the Third Proportional to 245,387 and 501,094

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Solution

The third proportional to 245,387 and 501,094 is: 1,023,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,387 : 501,094 = 501,094 : x
  2. Step 2: Convert to fraction form
    245,387/501,094 = 501,094/x
  3. Step 3: Cross multiply
    245,387x = 501,094 × 501,094
  4. Step 4: Simplify right side
    245,387x = 251,095,196,836
  5. Step 5: Solve for x
    x = 251,095,196,836/245,387
  6. Step 6: Final answer
    x = 1,023,262.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.