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Finding the Third Proportional to 493,506 and 743,904

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Solution

The third proportional to 493,506 and 743,904 is: 1,121,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,506 : 743,904 = 743,904 : x
  2. Step 2: Convert to fraction form
    493,506/743,904 = 743,904/x
  3. Step 3: Cross multiply
    493,506x = 743,904 × 743,904
  4. Step 4: Simplify right side
    493,506x = 553,393,161,216
  5. Step 5: Solve for x
    x = 553,393,161,216/493,506
  6. Step 6: Final answer
    x = 1,121,350.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.