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Finding the Third Proportional to 434,956 and 635,650

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Solution

The third proportional to 434,956 and 635,650 is: 928,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,956 : 635,650 = 635,650 : x
  2. Step 2: Convert to fraction form
    434,956/635,650 = 635,650/x
  3. Step 3: Cross multiply
    434,956x = 635,650 × 635,650
  4. Step 4: Simplify right side
    434,956x = 404,050,922,500
  5. Step 5: Solve for x
    x = 404,050,922,500/434,956
  6. Step 6: Final answer
    x = 928,946.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.