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Finding the Third Proportional to 250,564.50 and 546,352.88

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Solution

The third proportional to 250,564.50 and 546,352.88 is: 1,191,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,564.50 : 546,352.88 = 546,352.88 : x
  2. Step 2: Convert to fraction form
    250,564.50/546,352.88 = 546,352.88/x
  3. Step 3: Cross multiply
    250,564.50x = 546,352.88 × 546,352.88
  4. Step 4: Simplify right side
    250,564.50x = 298,501,464,020.77
  5. Step 5: Solve for x
    x = 298,501,464,020.77/250,564.50
  6. Step 6: Final answer
    x = 1,191,315.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.