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Finding the Third Proportional to 434,980 and 665,471

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Solution

The third proportional to 434,980 and 665,471 is: 1,018,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,980 : 665,471 = 665,471 : x
  2. Step 2: Convert to fraction form
    434,980/665,471 = 665,471/x
  3. Step 3: Cross multiply
    434,980x = 665,471 × 665,471
  4. Step 4: Simplify right side
    434,980x = 442,851,651,841
  5. Step 5: Solve for x
    x = 442,851,651,841/434,980
  6. Step 6: Final answer
    x = 1,018,096.58

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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.