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Finding the Third Proportional to 341,358.75 and 491,706

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Solution

The third proportional to 341,358.75 and 491,706 is: 708,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,358.75 : 491,706 = 491,706 : x
  2. Step 2: Convert to fraction form
    341,358.75/491,706 = 491,706/x
  3. Step 3: Cross multiply
    341,358.75x = 491,706 × 491,706
  4. Step 4: Simplify right side
    341,358.75x = 241,774,790,436
  5. Step 5: Solve for x
    x = 241,774,790,436/341,358.75
  6. Step 6: Final answer
    x = 708,271.84

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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.