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Finding the Third Proportional to 238,486 and 496,428

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Solution

The third proportional to 238,486 and 496,428 is: 1,033,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,486 : 496,428 = 496,428 : x
  2. Step 2: Convert to fraction form
    238,486/496,428 = 496,428/x
  3. Step 3: Cross multiply
    238,486x = 496,428 × 496,428
  4. Step 4: Simplify right side
    238,486x = 246,440,759,184
  5. Step 5: Solve for x
    x = 246,440,759,184/238,486
  6. Step 6: Final answer
    x = 1,033,355.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.