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Finding the Third Proportional to 245,196 and 527,963

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Solution

The third proportional to 245,196 and 527,963 is: 1,136,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,196 : 527,963 = 527,963 : x
  2. Step 2: Convert to fraction form
    245,196/527,963 = 527,963/x
  3. Step 3: Cross multiply
    245,196x = 527,963 × 527,963
  4. Step 4: Simplify right side
    245,196x = 278,744,929,369
  5. Step 5: Solve for x
    x = 278,744,929,369/245,196
  6. Step 6: Final answer
    x = 1,136,824.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.