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Finding the Third Proportional to 277,557 and 654,994

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Solution

The third proportional to 277,557 and 654,994 is: 1,545,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,557 : 654,994 = 654,994 : x
  2. Step 2: Convert to fraction form
    277,557/654,994 = 654,994/x
  3. Step 3: Cross multiply
    277,557x = 654,994 × 654,994
  4. Step 4: Simplify right side
    277,557x = 429,017,140,036
  5. Step 5: Solve for x
    x = 429,017,140,036/277,557
  6. Step 6: Final answer
    x = 1,545,690.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.