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Finding the Third Proportional to 295,274 and 468,831

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Solution

The third proportional to 295,274 and 468,831 is: 744,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,274 : 468,831 = 468,831 : x
  2. Step 2: Convert to fraction form
    295,274/468,831 = 468,831/x
  3. Step 3: Cross multiply
    295,274x = 468,831 × 468,831
  4. Step 4: Simplify right side
    295,274x = 219,802,506,561
  5. Step 5: Solve for x
    x = 219,802,506,561/295,274
  6. Step 6: Final answer
    x = 744,401.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.