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Finding the Third Proportional to 498,153.38 and 793,047.38

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Solution

The third proportional to 498,153.38 and 793,047.38 is: 1,262,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,153.38 : 793,047.38 = 793,047.38 : x
  2. Step 2: Convert to fraction form
    498,153.38/793,047.38 = 793,047.38/x
  3. Step 3: Cross multiply
    498,153.38x = 793,047.38 × 793,047.38
  4. Step 4: Simplify right side
    498,153.38x = 628,924,138,994.39
  5. Step 5: Solve for x
    x = 628,924,138,994.39/498,153.38
  6. Step 6: Final answer
    x = 1,262,511.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.