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Finding the Third Proportional to 245,344 and 501,008

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Solution

The third proportional to 245,344 and 501,008 is: 1,023,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,344 : 501,008 = 501,008 : x
  2. Step 2: Convert to fraction form
    245,344/501,008 = 501,008/x
  3. Step 3: Cross multiply
    245,344x = 501,008 × 501,008
  4. Step 4: Simplify right side
    245,344x = 251,009,016,064
  5. Step 5: Solve for x
    x = 251,009,016,064/245,344
  6. Step 6: Final answer
    x = 1,023,090.09

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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.