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Finding the Third Proportional to 349,327.69 and 754,674.47

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Solution

The third proportional to 349,327.69 and 754,674.47 is: 1,630,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,327.69 : 754,674.47 = 754,674.47 : x
  2. Step 2: Convert to fraction form
    349,327.69/754,674.47 = 754,674.47/x
  3. Step 3: Cross multiply
    349,327.69x = 754,674.47 × 754,674.47
  4. Step 4: Simplify right side
    349,327.69x = 569,533,553,783.10
  5. Step 5: Solve for x
    x = 569,533,553,783.10/349,327.69
  6. Step 6: Final answer
    x = 1,630,370.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.