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Finding the Third Proportional to 434,986 and 665,478

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Solution

The third proportional to 434,986 and 665,478 is: 1,018,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,986 : 665,478 = 665,478 : x
  2. Step 2: Convert to fraction form
    434,986/665,478 = 665,478/x
  3. Step 3: Cross multiply
    434,986x = 665,478 × 665,478
  4. Step 4: Simplify right side
    434,986x = 442,860,968,484
  5. Step 5: Solve for x
    x = 442,860,968,484/434,986
  6. Step 6: Final answer
    x = 1,018,103.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.