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Finding the Third Proportional to 374,814 and 803,196

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Solution

The third proportional to 374,814 and 803,196 is: 1,721,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,814 : 803,196 = 803,196 : x
  2. Step 2: Convert to fraction form
    374,814/803,196 = 803,196/x
  3. Step 3: Cross multiply
    374,814x = 803,196 × 803,196
  4. Step 4: Simplify right side
    374,814x = 645,123,814,416
  5. Step 5: Solve for x
    x = 645,123,814,416/374,814
  6. Step 6: Final answer
    x = 1,721,183.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.