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Finding the Third Proportional to 277,101 and 595,641

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Solution

The third proportional to 277,101 and 595,641 is: 1,280,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,101 : 595,641 = 595,641 : x
  2. Step 2: Convert to fraction form
    277,101/595,641 = 595,641/x
  3. Step 3: Cross multiply
    277,101x = 595,641 × 595,641
  4. Step 4: Simplify right side
    277,101x = 354,788,200,881
  5. Step 5: Solve for x
    x = 354,788,200,881/277,101
  6. Step 6: Final answer
    x = 1,280,356.98

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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.