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Finding the Third Proportional to 210,560,498 and 327,323,256

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Solution

The third proportional to 210,560,498 and 327,323,256 is: 508,834,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,560,498 : 327,323,256 = 327,323,256 : x
  2. Step 2: Convert to fraction form
    210,560,498/327,323,256 = 327,323,256/x
  3. Step 3: Cross multiply
    210,560,498x = 327,323,256 × 327,323,256
  4. Step 4: Simplify right side
    210,560,498x = 107,140,513,918,441,536
  5. Step 5: Solve for x
    x = 107,140,513,918,441,536/210,560,498
  6. Step 6: Final answer
    x = 508,834,823.89

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Why These Related Problems?

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