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Finding the Third Proportional to 264,808 and 624,586

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Solution

The third proportional to 264,808 and 624,586 is: 1,473,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,808 : 624,586 = 624,586 : x
  2. Step 2: Convert to fraction form
    264,808/624,586 = 624,586/x
  3. Step 3: Cross multiply
    264,808x = 624,586 × 624,586
  4. Step 4: Simplify right side
    264,808x = 390,107,671,396
  5. Step 5: Solve for x
    x = 390,107,671,396/264,808
  6. Step 6: Final answer
    x = 1,473,171.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.