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Finding the Third Proportional to 452,304 and 973,296

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Solution

The third proportional to 452,304 and 973,296 is: 2,094,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,304 : 973,296 = 973,296 : x
  2. Step 2: Convert to fraction form
    452,304/973,296 = 973,296/x
  3. Step 3: Cross multiply
    452,304x = 973,296 × 973,296
  4. Step 4: Simplify right side
    452,304x = 947,305,103,616
  5. Step 5: Solve for x
    x = 947,305,103,616/452,304
  6. Step 6: Final answer
    x = 2,094,399.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.