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Finding the Third Proportional to 503,048.25 and 747,736.88

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Solution

The third proportional to 503,048.25 and 747,736.88 is: 1,111,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,048.25 : 747,736.88 = 747,736.88 : x
  2. Step 2: Convert to fraction form
    503,048.25/747,736.88 = 747,736.88/x
  3. Step 3: Cross multiply
    503,048.25x = 747,736.88 × 747,736.88
  4. Step 4: Simplify right side
    503,048.25x = 559,110,434,234.77
  5. Step 5: Solve for x
    x = 559,110,434,234.77/503,048.25
  6. Step 6: Final answer
    x = 1,111,444.94

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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.