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Finding the Third Proportional to 435,060 and 612,672

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Solution

The third proportional to 435,060 and 612,672 is: 862,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,060 : 612,672 = 612,672 : x
  2. Step 2: Convert to fraction form
    435,060/612,672 = 612,672/x
  3. Step 3: Cross multiply
    435,060x = 612,672 × 612,672
  4. Step 4: Simplify right side
    435,060x = 375,366,979,584
  5. Step 5: Solve for x
    x = 375,366,979,584/435,060
  6. Step 6: Final answer
    x = 862,793.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.