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Finding the Third Proportional to 244,640 and 499,648

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Solution

The third proportional to 244,640 and 499,648 is: 1,020,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,640 : 499,648 = 499,648 : x
  2. Step 2: Convert to fraction form
    244,640/499,648 = 499,648/x
  3. Step 3: Cross multiply
    244,640x = 499,648 × 499,648
  4. Step 4: Simplify right side
    244,640x = 249,648,123,904
  5. Step 5: Solve for x
    x = 249,648,123,904/244,640
  6. Step 6: Final answer
    x = 1,020,471.40

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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.