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Finding the Third Proportional to 434,984 and 665,475

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Solution

The third proportional to 434,984 and 665,475 is: 1,018,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,984 : 665,475 = 665,475 : x
  2. Step 2: Convert to fraction form
    434,984/665,475 = 665,475/x
  3. Step 3: Cross multiply
    434,984x = 665,475 × 665,475
  4. Step 4: Simplify right side
    434,984x = 442,856,975,625
  5. Step 5: Solve for x
    x = 442,856,975,625/434,984
  6. Step 6: Final answer
    x = 1,018,099.46

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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.