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Finding the Third Proportional to 242,817 and 495,273

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Solution

The third proportional to 242,817 and 495,273 is: 1,010,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,817 : 495,273 = 495,273 : x
  2. Step 2: Convert to fraction form
    242,817/495,273 = 495,273/x
  3. Step 3: Cross multiply
    242,817x = 495,273 × 495,273
  4. Step 4: Simplify right side
    242,817x = 245,295,344,529
  5. Step 5: Solve for x
    x = 245,295,344,529/242,817
  6. Step 6: Final answer
    x = 1,010,206.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.