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Finding the Third Proportional to 498,354 and 1,169,965

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Solution

The third proportional to 498,354 and 1,169,965 is: 2,746,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,354 : 1,169,965 = 1,169,965 : x
  2. Step 2: Convert to fraction form
    498,354/1,169,965 = 1,169,965/x
  3. Step 3: Cross multiply
    498,354x = 1,169,965 × 1,169,965
  4. Step 4: Simplify right side
    498,354x = 1,368,818,101,225
  5. Step 5: Solve for x
    x = 1,368,818,101,225/498,354
  6. Step 6: Final answer
    x = 2,746,678.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.