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Finding the Third Proportional to 393,431.63 and 577,237.50

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Solution

The third proportional to 393,431.63 and 577,237.50 is: 846,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,431.63 : 577,237.50 = 577,237.50 : x
  2. Step 2: Convert to fraction form
    393,431.63/577,237.50 = 577,237.50/x
  3. Step 3: Cross multiply
    393,431.63x = 577,237.50 × 577,237.50
  4. Step 4: Simplify right side
    393,431.63x = 333,203,131,406.25
  5. Step 5: Solve for x
    x = 333,203,131,406.25/393,431.63
  6. Step 6: Final answer
    x = 846,914.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.