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Finding the Third Proportional to 337,969.13 and 723,913.88

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Solution

The third proportional to 337,969.13 and 723,913.88 is: 1,550,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,969.13 : 723,913.88 = 723,913.88 : x
  2. Step 2: Convert to fraction form
    337,969.13/723,913.88 = 723,913.88/x
  3. Step 3: Cross multiply
    337,969.13x = 723,913.88 × 723,913.88
  4. Step 4: Simplify right side
    337,969.13x = 524,051,298,417.52
  5. Step 5: Solve for x
    x = 524,051,298,417.52/337,969.13
  6. Step 6: Final answer
    x = 1,550,589.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.