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Finding the Third Proportional to 498,416 and 773,040

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Solution

The third proportional to 498,416 and 773,040 is: 1,198,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,416 : 773,040 = 773,040 : x
  2. Step 2: Convert to fraction form
    498,416/773,040 = 773,040/x
  3. Step 3: Cross multiply
    498,416x = 773,040 × 773,040
  4. Step 4: Simplify right side
    498,416x = 597,590,841,600
  5. Step 5: Solve for x
    x = 597,590,841,600/498,416
  6. Step 6: Final answer
    x = 1,198,980.05

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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.