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Finding the Third Proportional to 453,444 and 677,796

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Solution

The third proportional to 453,444 and 677,796 is: 1,013,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,444 : 677,796 = 677,796 : x
  2. Step 2: Convert to fraction form
    453,444/677,796 = 677,796/x
  3. Step 3: Cross multiply
    453,444x = 677,796 × 677,796
  4. Step 4: Simplify right side
    453,444x = 459,407,417,616
  5. Step 5: Solve for x
    x = 459,407,417,616/453,444
  6. Step 6: Final answer
    x = 1,013,151.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.