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Finding the Third Proportional to 344,806,977.50 and 516,704,813

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Solution

The third proportional to 344,806,977.50 and 516,704,813 is: 774,299,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,806,977.50 : 516,704,813 = 516,704,813 : x
  2. Step 2: Convert to fraction form
    344,806,977.50/516,704,813 = 516,704,813/x
  3. Step 3: Cross multiply
    344,806,977.50x = 516,704,813 × 516,704,813
  4. Step 4: Simplify right side
    344,806,977.50x = 266,983,863,777,364,960
  5. Step 5: Solve for x
    x = 266,983,863,777,364,960/344,806,977.50
  6. Step 6: Final answer
    x = 774,299,481.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.