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Finding the Third Proportional to 277,587 and 605,110.50

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Solution

The third proportional to 277,587 and 605,110.50 is: 1,319,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,587 : 605,110.50 = 605,110.50 : x
  2. Step 2: Convert to fraction form
    277,587/605,110.50 = 605,110.50/x
  3. Step 3: Cross multiply
    277,587x = 605,110.50 × 605,110.50
  4. Step 4: Simplify right side
    277,587x = 366,158,717,210.25
  5. Step 5: Solve for x
    x = 366,158,717,210.25/277,587
  6. Step 6: Final answer
    x = 1,319,077.32

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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.