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Finding the Third Proportional to 324,621 and 708,291

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Solution

The third proportional to 324,621 and 708,291 is: 1,545,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,621 : 708,291 = 708,291 : x
  2. Step 2: Convert to fraction form
    324,621/708,291 = 708,291/x
  3. Step 3: Cross multiply
    324,621x = 708,291 × 708,291
  4. Step 4: Simplify right side
    324,621x = 501,676,140,681
  5. Step 5: Solve for x
    x = 501,676,140,681/324,621
  6. Step 6: Final answer
    x = 1,545,421.09

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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.