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Finding the Third Proportional to 343,090.69 and 514,636.03

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Solution

The third proportional to 343,090.69 and 514,636.03 is: 771,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,090.69 : 514,636.03 = 514,636.03 : x
  2. Step 2: Convert to fraction form
    343,090.69/514,636.03 = 514,636.03/x
  3. Step 3: Cross multiply
    343,090.69x = 514,636.03 × 514,636.03
  4. Step 4: Simplify right side
    343,090.69x = 264,850,244,660.75
  5. Step 5: Solve for x
    x = 264,850,244,660.75/343,090.69
  6. Step 6: Final answer
    x = 771,954.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.