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Finding the Third Proportional to 254,640 and 553,087.50

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Solution

The third proportional to 254,640 and 553,087.50 is: 1,201,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,640 : 553,087.50 = 553,087.50 : x
  2. Step 2: Convert to fraction form
    254,640/553,087.50 = 553,087.50/x
  3. Step 3: Cross multiply
    254,640x = 553,087.50 × 553,087.50
  4. Step 4: Simplify right side
    254,640x = 305,905,782,656.25
  5. Step 5: Solve for x
    x = 305,905,782,656.25/254,640
  6. Step 6: Final answer
    x = 1,201,326.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.