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Finding the Third Proportional to 264,409.31 and 624,056.91

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Solution

The third proportional to 264,409.31 and 624,056.91 is: 1,472,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,409.31 : 624,056.91 = 624,056.91 : x
  2. Step 2: Convert to fraction form
    264,409.31/624,056.91 = 624,056.91/x
  3. Step 3: Cross multiply
    264,409.31x = 624,056.91 × 624,056.91
  4. Step 4: Simplify right side
    264,409.31x = 389,447,022,238.32
  5. Step 5: Solve for x
    x = 389,447,022,238.32/264,409.31
  6. Step 6: Final answer
    x = 1,472,894.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.