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Finding the Third Proportional to 278,136 and 595,656

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Solution

The third proportional to 278,136 and 595,656 is: 1,275,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,136 : 595,656 = 595,656 : x
  2. Step 2: Convert to fraction form
    278,136/595,656 = 595,656/x
  3. Step 3: Cross multiply
    278,136x = 595,656 × 595,656
  4. Step 4: Simplify right side
    278,136x = 354,806,070,336
  5. Step 5: Solve for x
    x = 354,806,070,336/278,136
  6. Step 6: Final answer
    x = 1,275,656.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.