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Finding the Third Proportional to 277,444.13 and 416,203.88

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Solution

The third proportional to 277,444.13 and 416,203.88 is: 624,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,444.13 : 416,203.88 = 416,203.88 : x
  2. Step 2: Convert to fraction form
    277,444.13/416,203.88 = 416,203.88/x
  3. Step 3: Cross multiply
    277,444.13x = 416,203.88 × 416,203.88
  4. Step 4: Simplify right side
    277,444.13x = 173,225,665,565.02
  5. Step 5: Solve for x
    x = 173,225,665,565.02/277,444.13
  6. Step 6: Final answer
    x = 624,362.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.