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Finding the Third Proportional to 435,854 and 660,302

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Solution

The third proportional to 435,854 and 660,302 is: 1,000,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,854 : 660,302 = 660,302 : x
  2. Step 2: Convert to fraction form
    435,854/660,302 = 660,302/x
  3. Step 3: Cross multiply
    435,854x = 660,302 × 660,302
  4. Step 4: Simplify right side
    435,854x = 435,998,731,204
  5. Step 5: Solve for x
    x = 435,998,731,204/435,854
  6. Step 6: Final answer
    x = 1,000,332.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.