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Finding the Third Proportional to 369,500,852 and 516,583,968

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Solution

The third proportional to 369,500,852 and 516,583,968 is: 722,214,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,500,852 : 516,583,968 = 516,583,968 : x
  2. Step 2: Convert to fraction form
    369,500,852/516,583,968 = 516,583,968/x
  3. Step 3: Cross multiply
    369,500,852x = 516,583,968 × 516,583,968
  4. Step 4: Simplify right side
    369,500,852x = 266,858,995,994,625,024
  5. Step 5: Solve for x
    x = 266,858,995,994,625,024/369,500,852
  6. Step 6: Final answer
    x = 722,214,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.