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Finding the Third Proportional to 340,412.63 and 494,656.88

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Solution

The third proportional to 340,412.63 and 494,656.88 is: 718,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,412.63 : 494,656.88 = 494,656.88 : x
  2. Step 2: Convert to fraction form
    340,412.63/494,656.88 = 494,656.88/x
  3. Step 3: Cross multiply
    340,412.63x = 494,656.88 × 494,656.88
  4. Step 4: Simplify right side
    340,412.63x = 244,685,423,984.77
  5. Step 5: Solve for x
    x = 244,685,423,984.77/340,412.63
  6. Step 6: Final answer
    x = 718,790.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.