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Finding the Third Proportional to 265,734.75 and 566,945.63

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Solution

The third proportional to 265,734.75 and 566,945.63 is: 1,209,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734.75 : 566,945.63 = 566,945.63 : x
  2. Step 2: Convert to fraction form
    265,734.75/566,945.63 = 566,945.63/x
  3. Step 3: Cross multiply
    265,734.75x = 566,945.63 × 566,945.63
  4. Step 4: Simplify right side
    265,734.75x = 321,427,341,706.64
  5. Step 5: Solve for x
    x = 321,427,341,706.64/265,734.75
  6. Step 6: Final answer
    x = 1,209,579.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.