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Finding the Third Proportional to 324,323 and 709,733

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Solution

The third proportional to 324,323 and 709,733 is: 1,553,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,323 : 709,733 = 709,733 : x
  2. Step 2: Convert to fraction form
    324,323/709,733 = 709,733/x
  3. Step 3: Cross multiply
    324,323x = 709,733 × 709,733
  4. Step 4: Simplify right side
    324,323x = 503,720,931,289
  5. Step 5: Solve for x
    x = 503,720,931,289/324,323
  6. Step 6: Final answer
    x = 1,553,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.