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Finding the Third Proportional to 503,412 and 748,302

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Solution

The third proportional to 503,412 and 748,302 is: 1,112,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,412 : 748,302 = 748,302 : x
  2. Step 2: Convert to fraction form
    503,412/748,302 = 748,302/x
  3. Step 3: Cross multiply
    503,412x = 748,302 × 748,302
  4. Step 4: Simplify right side
    503,412x = 559,955,883,204
  5. Step 5: Solve for x
    x = 559,955,883,204/503,412
  6. Step 6: Final answer
    x = 1,112,321.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.