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Finding the Third Proportional to 351,716,350.50 and 517,344,286.50

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Solution

The third proportional to 351,716,350.50 and 517,344,286.50 is: 760,968,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,716,350.50 : 517,344,286.50 = 517,344,286.50 : x
  2. Step 2: Convert to fraction form
    351,716,350.50/517,344,286.50 = 517,344,286.50/x
  3. Step 3: Cross multiply
    351,716,350.50x = 517,344,286.50 × 517,344,286.50
  4. Step 4: Simplify right side
    351,716,350.50x = 267,645,110,774,194,080
  5. Step 5: Solve for x
    x = 267,645,110,774,194,080/351,716,350.50
  6. Step 6: Final answer
    x = 760,968,633.94

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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.