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Finding the Third Proportional to 265,079 and 569,710

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Solution

The third proportional to 265,079 and 569,710 is: 1,224,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,079 : 569,710 = 569,710 : x
  2. Step 2: Convert to fraction form
    265,079/569,710 = 569,710/x
  3. Step 3: Cross multiply
    265,079x = 569,710 × 569,710
  4. Step 4: Simplify right side
    265,079x = 324,569,484,100
  5. Step 5: Solve for x
    x = 324,569,484,100/265,079
  6. Step 6: Final answer
    x = 1,224,425.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.