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Finding the Third Proportional to 265,929.75 and 574,485.75

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Solution

The third proportional to 265,929.75 and 574,485.75 is: 1,241,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,929.75 : 574,485.75 = 574,485.75 : x
  2. Step 2: Convert to fraction form
    265,929.75/574,485.75 = 574,485.75/x
  3. Step 3: Cross multiply
    265,929.75x = 574,485.75 × 574,485.75
  4. Step 4: Simplify right side
    265,929.75x = 330,033,876,953.06
  5. Step 5: Solve for x
    x = 330,033,876,953.06/265,929.75
  6. Step 6: Final answer
    x = 1,241,056.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.