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Finding the Third Proportional to 434,914 and 612,457

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Solution

The third proportional to 434,914 and 612,457 is: 862,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,914 : 612,457 = 612,457 : x
  2. Step 2: Convert to fraction form
    434,914/612,457 = 612,457/x
  3. Step 3: Cross multiply
    434,914x = 612,457 × 612,457
  4. Step 4: Simplify right side
    434,914x = 375,103,576,849
  5. Step 5: Solve for x
    x = 375,103,576,849/434,914
  6. Step 6: Final answer
    x = 862,477.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.