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Finding the Third Proportional to 264,640 and 624,623

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Solution

The third proportional to 264,640 and 624,623 is: 1,474,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,640 : 624,623 = 624,623 : x
  2. Step 2: Convert to fraction form
    264,640/624,623 = 624,623/x
  3. Step 3: Cross multiply
    264,640x = 624,623 × 624,623
  4. Step 4: Simplify right side
    264,640x = 390,153,892,129
  5. Step 5: Solve for x
    x = 390,153,892,129/264,640
  6. Step 6: Final answer
    x = 1,474,281.64

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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.