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Finding the Third Proportional to 458,358.75 and 708,474.09

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Solution

The third proportional to 458,358.75 and 708,474.09 is: 1,095,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,358.75 : 708,474.09 = 708,474.09 : x
  2. Step 2: Convert to fraction form
    458,358.75/708,474.09 = 708,474.09/x
  3. Step 3: Cross multiply
    458,358.75x = 708,474.09 × 708,474.09
  4. Step 4: Simplify right side
    458,358.75x = 501,935,541,514.88
  5. Step 5: Solve for x
    x = 501,935,541,514.88/458,358.75
  6. Step 6: Final answer
    x = 1,095,071.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.