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Finding the Third Proportional to 265,350 and 560,650

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Solution

The third proportional to 265,350 and 560,650 is: 1,184,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,350 : 560,650 = 560,650 : x
  2. Step 2: Convert to fraction form
    265,350/560,650 = 560,650/x
  3. Step 3: Cross multiply
    265,350x = 560,650 × 560,650
  4. Step 4: Simplify right side
    265,350x = 314,328,422,500
  5. Step 5: Solve for x
    x = 314,328,422,500/265,350
  6. Step 6: Final answer
    x = 1,184,580.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.