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Finding the Third Proportional to 362,855,696 and 560,327,376

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Solution

The third proportional to 362,855,696 and 560,327,376 is: 865,266,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,855,696 : 560,327,376 = 560,327,376 : x
  2. Step 2: Convert to fraction form
    362,855,696/560,327,376 = 560,327,376/x
  3. Step 3: Cross multiply
    362,855,696x = 560,327,376 × 560,327,376
  4. Step 4: Simplify right side
    362,855,696x = 313,966,768,295,045,376
  5. Step 5: Solve for x
    x = 313,966,768,295,045,376/362,855,696
  6. Step 6: Final answer
    x = 865,266,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.