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Finding the Third Proportional to 324,789 and 708,600

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Solution

The third proportional to 324,789 and 708,600 is: 1,545,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,789 : 708,600 = 708,600 : x
  2. Step 2: Convert to fraction form
    324,789/708,600 = 708,600/x
  3. Step 3: Cross multiply
    324,789x = 708,600 × 708,600
  4. Step 4: Simplify right side
    324,789x = 502,113,960,000
  5. Step 5: Solve for x
    x = 502,113,960,000/324,789
  6. Step 6: Final answer
    x = 1,545,969.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.