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Finding the Third Proportional to 264,806 and 624,581

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Solution

The third proportional to 264,806 and 624,581 is: 1,473,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,806 : 624,581 = 624,581 : x
  2. Step 2: Convert to fraction form
    264,806/624,581 = 624,581/x
  3. Step 3: Cross multiply
    264,806x = 624,581 × 624,581
  4. Step 4: Simplify right side
    264,806x = 390,101,425,561
  5. Step 5: Solve for x
    x = 390,101,425,561/264,806
  6. Step 6: Final answer
    x = 1,473,159.31

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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.