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Finding the Third Proportional to 264,483 and 623,826

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Solution

The third proportional to 264,483 and 623,826 is: 1,471,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,483 : 623,826 = 623,826 : x
  2. Step 2: Convert to fraction form
    264,483/623,826 = 623,826/x
  3. Step 3: Cross multiply
    264,483x = 623,826 × 623,826
  4. Step 4: Simplify right side
    264,483x = 389,158,878,276
  5. Step 5: Solve for x
    x = 389,158,878,276/264,483
  6. Step 6: Final answer
    x = 1,471,394.68

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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.