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Finding the Third Proportional to 376,818 and 808,230

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Solution

The third proportional to 376,818 and 808,230 is: 1,733,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,818 : 808,230 = 808,230 : x
  2. Step 2: Convert to fraction form
    376,818/808,230 = 808,230/x
  3. Step 3: Cross multiply
    376,818x = 808,230 × 808,230
  4. Step 4: Simplify right side
    376,818x = 653,235,732,900
  5. Step 5: Solve for x
    x = 653,235,732,900/376,818
  6. Step 6: Final answer
    x = 1,733,557.67

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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.