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Finding the Third Proportional to 337,528.69 and 492,960.09

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Solution

The third proportional to 337,528.69 and 492,960.09 is: 719,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,528.69 : 492,960.09 = 492,960.09 : x
  2. Step 2: Convert to fraction form
    337,528.69/492,960.09 = 492,960.09/x
  3. Step 3: Cross multiply
    337,528.69x = 492,960.09 × 492,960.09
  4. Step 4: Simplify right side
    337,528.69x = 243,009,654,030.01
  5. Step 5: Solve for x
    x = 243,009,654,030.01/337,528.69
  6. Step 6: Final answer
    x = 719,967.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.