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Finding the Third Proportional to 505,309.50 and 738,247.50

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Solution

The third proportional to 505,309.50 and 738,247.50 is: 1,078,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,309.50 : 738,247.50 = 738,247.50 : x
  2. Step 2: Convert to fraction form
    505,309.50/738,247.50 = 738,247.50/x
  3. Step 3: Cross multiply
    505,309.50x = 738,247.50 × 738,247.50
  4. Step 4: Simplify right side
    505,309.50x = 545,009,371,256.25
  5. Step 5: Solve for x
    x = 545,009,371,256.25/505,309.50
  6. Step 6: Final answer
    x = 1,078,565.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.