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Finding the Third Proportional to 277,965 and 606,901.50

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Solution

The third proportional to 277,965 and 606,901.50 is: 1,325,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,965 : 606,901.50 = 606,901.50 : x
  2. Step 2: Convert to fraction form
    277,965/606,901.50 = 606,901.50/x
  3. Step 3: Cross multiply
    277,965x = 606,901.50 × 606,901.50
  4. Step 4: Simplify right side
    277,965x = 368,329,430,702.25
  5. Step 5: Solve for x
    x = 368,329,430,702.25/277,965
  6. Step 6: Final answer
    x = 1,325,092.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.