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Finding the Third Proportional to 351,601,576 and 517,241,076

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Solution

The third proportional to 351,601,576 and 517,241,076 is: 760,913,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,601,576 : 517,241,076 = 517,241,076 : x
  2. Step 2: Convert to fraction form
    351,601,576/517,241,076 = 517,241,076/x
  3. Step 3: Cross multiply
    351,601,576x = 517,241,076 × 517,241,076
  4. Step 4: Simplify right side
    351,601,576x = 267,538,330,701,637,760
  5. Step 5: Solve for x
    x = 267,538,330,701,637,760/351,601,576
  6. Step 6: Final answer
    x = 760,913,343.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.