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Finding the Third Proportional to 257,554.50 and 393,986.25

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Solution

The third proportional to 257,554.50 and 393,986.25 is: 602,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,554.50 : 393,986.25 = 393,986.25 : x
  2. Step 2: Convert to fraction form
    257,554.50/393,986.25 = 393,986.25/x
  3. Step 3: Cross multiply
    257,554.50x = 393,986.25 × 393,986.25
  4. Step 4: Simplify right side
    257,554.50x = 155,225,165,189.06
  5. Step 5: Solve for x
    x = 155,225,165,189.06/257,554.50
  6. Step 6: Final answer
    x = 602,688.62

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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.