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Finding the Third Proportional to 351,948,857 and 479,294,270

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Solution

The third proportional to 351,948,857 and 479,294,270 is: 652,716,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,948,857 : 479,294,270 = 479,294,270 : x
  2. Step 2: Convert to fraction form
    351,948,857/479,294,270 = 479,294,270/x
  3. Step 3: Cross multiply
    351,948,857x = 479,294,270 × 479,294,270
  4. Step 4: Simplify right side
    351,948,857x = 229,722,997,254,832,896
  5. Step 5: Solve for x
    x = 229,722,997,254,832,896/351,948,857
  6. Step 6: Final answer
    x = 652,716,986.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.