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Finding the Third Proportional to 503,834 and 753,063

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Solution

The third proportional to 503,834 and 753,063 is: 1,125,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,834 : 753,063 = 753,063 : x
  2. Step 2: Convert to fraction form
    503,834/753,063 = 753,063/x
  3. Step 3: Cross multiply
    503,834x = 753,063 × 753,063
  4. Step 4: Simplify right side
    503,834x = 567,103,881,969
  5. Step 5: Solve for x
    x = 567,103,881,969/503,834
  6. Step 6: Final answer
    x = 1,125,576.84

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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.