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Finding the Third Proportional to 505,948.50 and 756,186.75

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Solution

The third proportional to 505,948.50 and 756,186.75 is: 1,130,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,948.50 : 756,186.75 = 756,186.75 : x
  2. Step 2: Convert to fraction form
    505,948.50/756,186.75 = 756,186.75/x
  3. Step 3: Cross multiply
    505,948.50x = 756,186.75 × 756,186.75
  4. Step 4: Simplify right side
    505,948.50x = 571,818,400,875.56
  5. Step 5: Solve for x
    x = 571,818,400,875.56/505,948.50
  6. Step 6: Final answer
    x = 1,130,190.92

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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.