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Finding the Third Proportional to 265,477.50 and 340,564.50

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Solution

The third proportional to 265,477.50 and 340,564.50 is: 436,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,477.50 : 340,564.50 = 340,564.50 : x
  2. Step 2: Convert to fraction form
    265,477.50/340,564.50 = 340,564.50/x
  3. Step 3: Cross multiply
    265,477.50x = 340,564.50 × 340,564.50
  4. Step 4: Simplify right side
    265,477.50x = 115,984,178,660.25
  5. Step 5: Solve for x
    x = 115,984,178,660.25/265,477.50
  6. Step 6: Final answer
    x = 436,888.92

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.