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Finding the Third Proportional to 493,442.63 and 743,809.13

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Solution

The third proportional to 493,442.63 and 743,809.13 is: 1,121,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,442.63 : 743,809.13 = 743,809.13 : x
  2. Step 2: Convert to fraction form
    493,442.63/743,809.13 = 743,809.13/x
  3. Step 3: Cross multiply
    493,442.63x = 743,809.13 × 743,809.13
  4. Step 4: Simplify right side
    493,442.63x = 553,252,014,433.27
  5. Step 5: Solve for x
    x = 553,252,014,433.27/493,442.63
  6. Step 6: Final answer
    x = 1,121,208.40

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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.