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Finding the Third Proportional to 245,971.69 and 537,505.88

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Solution

The third proportional to 245,971.69 and 537,505.88 is: 1,174,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,971.69 : 537,505.88 = 537,505.88 : x
  2. Step 2: Convert to fraction form
    245,971.69/537,505.88 = 537,505.88/x
  3. Step 3: Cross multiply
    245,971.69x = 537,505.88 × 537,505.88
  4. Step 4: Simplify right side
    245,971.69x = 288,912,565,659.52
  5. Step 5: Solve for x
    x = 288,912,565,659.52/245,971.69
  6. Step 6: Final answer
    x = 1,174,576.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.