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Finding the Third Proportional to 453,816 and 753,732

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Solution

The third proportional to 453,816 and 753,732 is: 1,251,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,816 : 753,732 = 753,732 : x
  2. Step 2: Convert to fraction form
    453,816/753,732 = 753,732/x
  3. Step 3: Cross multiply
    453,816x = 753,732 × 753,732
  4. Step 4: Simplify right side
    453,816x = 568,111,927,824
  5. Step 5: Solve for x
    x = 568,111,927,824/453,816
  6. Step 6: Final answer
    x = 1,251,855.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.