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Finding the Third Proportional to 305,856 and 719,624

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Solution

The third proportional to 305,856 and 719,624 is: 1,693,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,856 : 719,624 = 719,624 : x
  2. Step 2: Convert to fraction form
    305,856/719,624 = 719,624/x
  3. Step 3: Cross multiply
    305,856x = 719,624 × 719,624
  4. Step 4: Simplify right side
    305,856x = 517,858,701,376
  5. Step 5: Solve for x
    x = 517,858,701,376/305,856
  6. Step 6: Final answer
    x = 1,693,145.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.