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Finding the Third Proportional to 264,634.50 and 624,609

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Solution

The third proportional to 264,634.50 and 624,609 is: 1,474,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,634.50 : 624,609 = 624,609 : x
  2. Step 2: Convert to fraction form
    264,634.50/624,609 = 624,609/x
  3. Step 3: Cross multiply
    264,634.50x = 624,609 × 624,609
  4. Step 4: Simplify right side
    264,634.50x = 390,136,402,881
  5. Step 5: Solve for x
    x = 390,136,402,881/264,634.50
  6. Step 6: Final answer
    x = 1,474,246.19

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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.