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Finding the Third Proportional to 348,918 and 503,043

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Solution

The third proportional to 348,918 and 503,043 is: 725,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,918 : 503,043 = 503,043 : x
  2. Step 2: Convert to fraction form
    348,918/503,043 = 503,043/x
  3. Step 3: Cross multiply
    348,918x = 503,043 × 503,043
  4. Step 4: Simplify right side
    348,918x = 253,052,259,849
  5. Step 5: Solve for x
    x = 253,052,259,849/348,918
  6. Step 6: Final answer
    x = 725,248.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.