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Finding the Third Proportional to 242,352 and 496,458

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Solution

The third proportional to 242,352 and 496,458 is: 1,016,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,352 : 496,458 = 496,458 : x
  2. Step 2: Convert to fraction form
    242,352/496,458 = 496,458/x
  3. Step 3: Cross multiply
    242,352x = 496,458 × 496,458
  4. Step 4: Simplify right side
    242,352x = 246,470,545,764
  5. Step 5: Solve for x
    x = 246,470,545,764/242,352
  6. Step 6: Final answer
    x = 1,016,994.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.