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Finding the Third Proportional to 450,130 and 696,760

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Solution

The third proportional to 450,130 and 696,760 is: 1,078,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,130 : 696,760 = 696,760 : x
  2. Step 2: Convert to fraction form
    450,130/696,760 = 696,760/x
  3. Step 3: Cross multiply
    450,130x = 696,760 × 696,760
  4. Step 4: Simplify right side
    450,130x = 485,474,497,600
  5. Step 5: Solve for x
    x = 485,474,497,600/450,130
  6. Step 6: Final answer
    x = 1,078,520.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.