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Finding the Third Proportional to 264,812 and 624,596

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Solution

The third proportional to 264,812 and 624,596 is: 1,473,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,812 : 624,596 = 624,596 : x
  2. Step 2: Convert to fraction form
    264,812/624,596 = 624,596/x
  3. Step 3: Cross multiply
    264,812x = 624,596 × 624,596
  4. Step 4: Simplify right side
    264,812x = 390,120,163,216
  5. Step 5: Solve for x
    x = 390,120,163,216/264,812
  6. Step 6: Final answer
    x = 1,473,196.70

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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.