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Finding the Third Proportional to 426,768 and 660,762

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Solution

The third proportional to 426,768 and 660,762 is: 1,023,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,768 : 660,762 = 660,762 : x
  2. Step 2: Convert to fraction form
    426,768/660,762 = 660,762/x
  3. Step 3: Cross multiply
    426,768x = 660,762 × 660,762
  4. Step 4: Simplify right side
    426,768x = 436,606,420,644
  5. Step 5: Solve for x
    x = 436,606,420,644/426,768
  6. Step 6: Final answer
    x = 1,023,053.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.