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Finding the Third Proportional to 433,060 and 680,292

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Solution

The third proportional to 433,060 and 680,292 is: 1,068,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,060 : 680,292 = 680,292 : x
  2. Step 2: Convert to fraction form
    433,060/680,292 = 680,292/x
  3. Step 3: Cross multiply
    433,060x = 680,292 × 680,292
  4. Step 4: Simplify right side
    433,060x = 462,797,205,264
  5. Step 5: Solve for x
    x = 462,797,205,264/433,060
  6. Step 6: Final answer
    x = 1,068,667.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.