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Finding the Third Proportional to 324,960 and 709,536

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Solution

The third proportional to 324,960 and 709,536 is: 1,549,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,960 : 709,536 = 709,536 : x
  2. Step 2: Convert to fraction form
    324,960/709,536 = 709,536/x
  3. Step 3: Cross multiply
    324,960x = 709,536 × 709,536
  4. Step 4: Simplify right side
    324,960x = 503,441,335,296
  5. Step 5: Solve for x
    x = 503,441,335,296/324,960
  6. Step 6: Final answer
    x = 1,549,240.94

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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.