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Finding the Third Proportional to 503,416.50 and 777,744.75

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Solution

The third proportional to 503,416.50 and 777,744.75 is: 1,201,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,416.50 : 777,744.75 = 777,744.75 : x
  2. Step 2: Convert to fraction form
    503,416.50/777,744.75 = 777,744.75/x
  3. Step 3: Cross multiply
    503,416.50x = 777,744.75 × 777,744.75
  4. Step 4: Simplify right side
    503,416.50x = 604,886,896,152.56
  5. Step 5: Solve for x
    x = 604,886,896,152.56/503,416.50
  6. Step 6: Final answer
    x = 1,201,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.