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Finding the Third Proportional to 341,457.75 and 491,848.88

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Solution

The third proportional to 341,457.75 and 491,848.88 is: 708,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,457.75 : 491,848.88 = 491,848.88 : x
  2. Step 2: Convert to fraction form
    341,457.75/491,848.88 = 491,848.88/x
  3. Step 3: Cross multiply
    341,457.75x = 491,848.88 × 491,848.88
  4. Step 4: Simplify right side
    341,457.75x = 241,915,315,838.77
  5. Step 5: Solve for x
    x = 241,915,315,838.77/341,457.75
  6. Step 6: Final answer
    x = 708,478.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.