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Finding the Third Proportional to 245,884 and 500,792

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Solution

The third proportional to 245,884 and 500,792 is: 1,019,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,884 : 500,792 = 500,792 : x
  2. Step 2: Convert to fraction form
    245,884/500,792 = 500,792/x
  3. Step 3: Cross multiply
    245,884x = 500,792 × 500,792
  4. Step 4: Simplify right side
    245,884x = 250,792,627,264
  5. Step 5: Solve for x
    x = 250,792,627,264/245,884
  6. Step 6: Final answer
    x = 1,019,963.18

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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.