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Finding the Third Proportional to 300,924 and 457,296

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Solution

The third proportional to 300,924 and 457,296 is: 694,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,924 : 457,296 = 457,296 : x
  2. Step 2: Convert to fraction form
    300,924/457,296 = 457,296/x
  3. Step 3: Cross multiply
    300,924x = 457,296 × 457,296
  4. Step 4: Simplify right side
    300,924x = 209,119,631,616
  5. Step 5: Solve for x
    x = 209,119,631,616/300,924
  6. Step 6: Final answer
    x = 694,925.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.