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Finding the Third Proportional to 434,984 and 665,476

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Solution

The third proportional to 434,984 and 665,476 is: 1,018,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,984 : 665,476 = 665,476 : x
  2. Step 2: Convert to fraction form
    434,984/665,476 = 665,476/x
  3. Step 3: Cross multiply
    434,984x = 665,476 × 665,476
  4. Step 4: Simplify right side
    434,984x = 442,858,306,576
  5. Step 5: Solve for x
    x = 442,858,306,576/434,984
  6. Step 6: Final answer
    x = 1,018,102.52

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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.