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Finding the Third Proportional to 498,980 and 1,088,248

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Solution

The third proportional to 498,980 and 1,088,248 is: 2,373,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,980 : 1,088,248 = 1,088,248 : x
  2. Step 2: Convert to fraction form
    498,980/1,088,248 = 1,088,248/x
  3. Step 3: Cross multiply
    498,980x = 1,088,248 × 1,088,248
  4. Step 4: Simplify right side
    498,980x = 1,184,283,709,504
  5. Step 5: Solve for x
    x = 1,184,283,709,504/498,980
  6. Step 6: Final answer
    x = 2,373,409.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.