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Finding the Third Proportional to 294,552.50 and 460,782.75

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Solution

The third proportional to 294,552.50 and 460,782.75 is: 720,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,552.50 : 460,782.75 = 460,782.75 : x
  2. Step 2: Convert to fraction form
    294,552.50/460,782.75 = 460,782.75/x
  3. Step 3: Cross multiply
    294,552.50x = 460,782.75 × 460,782.75
  4. Step 4: Simplify right side
    294,552.50x = 212,320,742,697.56
  5. Step 5: Solve for x
    x = 212,320,742,697.56/294,552.50
  6. Step 6: Final answer
    x = 720,824.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.