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Finding the Third Proportional to 456,205,120 and 659,137,760

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Solution

The third proportional to 456,205,120 and 659,137,760 is: 952,340,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205,120 : 659,137,760 = 659,137,760 : x
  2. Step 2: Convert to fraction form
    456,205,120/659,137,760 = 659,137,760/x
  3. Step 3: Cross multiply
    456,205,120x = 659,137,760 × 659,137,760
  4. Step 4: Simplify right side
    456,205,120x = 434,462,586,657,817,600
  5. Step 5: Solve for x
    x = 434,462,586,657,817,600/456,205,120
  6. Step 6: Final answer
    x = 952,340,444.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.