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Finding the Third Proportional to 337,504.22 and 492,929.30

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Solution

The third proportional to 337,504.22 and 492,929.30 is: 719,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,504.22 : 492,929.30 = 492,929.30 : x
  2. Step 2: Convert to fraction form
    337,504.22/492,929.30 = 492,929.30/x
  3. Step 3: Cross multiply
    337,504.22x = 492,929.30 × 492,929.30
  4. Step 4: Simplify right side
    337,504.22x = 242,979,291,717.68
  5. Step 5: Solve for x
    x = 242,979,291,717.68/337,504.22
  6. Step 6: Final answer
    x = 719,929.64

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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.