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Finding the Third Proportional to 351,605,286 and 517,244,899.50

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Solution

The third proportional to 351,605,286 and 517,244,899.50 is: 760,916,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,605,286 : 517,244,899.50 = 517,244,899.50 : x
  2. Step 2: Convert to fraction form
    351,605,286/517,244,899.50 = 517,244,899.50/x
  3. Step 3: Cross multiply
    351,605,286x = 517,244,899.50 × 517,244,899.50
  4. Step 4: Simplify right side
    351,605,286x = 267,542,286,058,765,088
  5. Step 5: Solve for x
    x = 267,542,286,058,765,088/351,605,286
  6. Step 6: Final answer
    x = 760,916,563.86

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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.