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Finding the Third Proportional to 294,617.75 and 450,487.25

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Solution

The third proportional to 294,617.75 and 450,487.25 is: 688,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,617.75 : 450,487.25 = 450,487.25 : x
  2. Step 2: Convert to fraction form
    294,617.75/450,487.25 = 450,487.25/x
  3. Step 3: Cross multiply
    294,617.75x = 450,487.25 × 450,487.25
  4. Step 4: Simplify right side
    294,617.75x = 202,938,762,412.56
  5. Step 5: Solve for x
    x = 202,938,762,412.56/294,617.75
  6. Step 6: Final answer
    x = 688,820.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.